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Proportional relationships: movie tickets

When going to the movies, is the price you pay proportional to the number of tickets you buy?

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  • leafers ultimate style avatar for user kaitlyn
    I was looking for a walk-through of this problem: an adult ticket cost $2.50 and a child ticket cost $1. if $498.60 was collected for 100 tickets how many child tickets were sold? thank you!
    (7 votes)
    Default Khan Academy avatar avatar for user
  • aqualine ultimate style avatar for user Addy
    ๐Ÿ˜ก๐Ÿ˜กWell... maybe I just won't go to the movies because my life earnings of ten cents won't pay a $10.50 bill per ticket.๐Ÿ˜ก๐Ÿ˜ก
    (8 votes)
    Default Khan Academy avatar avatar for user
  • hopper happy style avatar for user i+h8+math=me
    Gโ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ–‘โ–ˆโ–‘โ–‘โ–‘โ–‘โ–‘โ–ˆโ–‘
    โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ–‘โ–ˆโ–‘โ–‘โ–‘โ–‘โ–‘โ–ˆโ–‘
    โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ–‘โ–‘โ–‘โ”€โ”€โ”€โ–‘โ–ˆโ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–ˆโ–‘
    โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ–‘โ–ˆโ–ˆโ–ˆโ–‘โ”€โ”€โ–‘โ–ˆโ–‘โ–‘โ–‘โ–‘โ–‘โ–ˆโ–‘
    โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ–‘โ–ˆโ–ˆโ–‘โ–‘โ–‘โ–ˆโ–ˆโ–‘โ–ˆโ–‘โ–‘โ–‘โ–‘โ–‘โ–ˆโ–‘
    โ”€โ”€โ”€โ”€โ”€โ”€โ–‘โ–ˆโ–‘โ–‘โ–ˆโ–‘โ–‘โ–‘โ–‘โ–ˆโ–ˆโ–‘โ–‘โ–‘โ–‘โ–‘โ–ˆโ–‘
    โ”€โ”€โ”€โ”€โ–‘โ–ˆโ–ˆโ–‘โ–‘โ–ˆโ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–ˆโ–‘โ–‘โ–‘โ–‘โ–ˆโ–‘
    โ”€โ”€โ”€โ–‘โ–ˆโ–‘โ–‘โ–‘โ–ˆโ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–ˆโ–ˆโ–‘โ–‘โ–‘โ–ˆโ–‘
    โ”€โ”€โ–‘โ–ˆโ–‘โ–‘โ–‘โ–‘โ–ˆโ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–ˆโ–‘โ–‘โ–‘โ–ˆโ–‘
    โ”€โ”€โ–‘โ–ˆโ–‘โ–‘โ–‘โ–‘โ–‘โ–ˆโ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–ˆโ–‘โ–‘โ–‘โ–ˆโ–‘
    โ”€โ”€โ–‘โ–ˆโ–‘โ–‘โ–ˆโ–‘โ–‘โ–‘โ–ˆโ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–ˆโ–‘โ–‘โ–ˆโ–‘
    โ”€โ–‘โ–ˆโ–‘โ–‘โ–‘โ–ˆโ–‘โ–‘โ–‘โ–‘โ–ˆโ–ˆโ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–ˆโ–‘โ–‘โ–ˆโ–‘
    โ”€โ–‘โ–ˆโ–‘โ–‘โ–‘โ–‘โ–ˆโ–‘โ–‘โ–‘โ–‘โ–‘โ–ˆโ–ˆโ–‘โ–‘โ–‘โ–ˆโ–‘โ–‘โ–‘โ–ˆโ–‘
    โ”€โ–‘โ–ˆโ–‘โ–ˆโ–‘โ–‘โ–‘โ–ˆโ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–ˆโ–ˆโ–ˆโ–‘โ–‘โ–‘โ–‘โ–ˆโ–‘
    โ–‘โ–ˆโ–‘โ–‘โ–‘โ–ˆโ–‘โ–‘โ–‘โ–ˆโ–ˆโ–‘โ–‘โ–‘โ–‘โ–‘โ–ˆโ–‘โ–‘โ–‘โ–‘โ–‘โ–ˆโ–‘
    โ–‘โ–ˆโ–‘โ–‘โ–‘โ–‘โ–ˆโ–‘โ–‘โ–‘โ–‘โ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–‘โ–‘โ–‘โ–‘โ–‘โ–ˆโ–‘
    โ–‘โ–ˆโ–‘โ–‘โ–‘โ–‘โ–‘โ–ˆโ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–ˆโ–‘โ–‘โ–‘โ–‘โ–‘โ–ˆโ–‘
    โ–‘โ–ˆโ–‘โ–ˆโ–‘โ–‘โ–‘โ–‘โ–ˆโ–ˆโ–‘โ–‘โ–‘โ–‘โ–ˆโ–‘โ–‘โ–‘โ–‘โ–‘โ–ˆโ–‘
    โ”€โ–‘โ–ˆโ–‘โ–ˆโ–‘โ–‘โ–‘โ–‘โ–‘โ–ˆโ–ˆโ–ˆโ–ˆโ–‘โ–‘โ–‘โ–‘โ–ˆโ–ˆโ–‘
    โ”€โ–‘โ–ˆโ–‘โ–‘โ–ˆโ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–ˆโ–‘โ–‘โ–ˆโ–ˆโ–‘โ–ˆโ–‘
    โ”€โ”€โ–‘โ–ˆโ–‘โ–‘โ–ˆโ–ˆโ–‘โ–‘โ–‘โ–ˆโ–ˆโ–‘โ–‘โ–ˆโ–‘โ–‘โ–‘โ–ˆโ–‘
    โ”€โ”€โ”€โ–‘โ–ˆโ–ˆโ–‘โ–‘โ–ˆโ–ˆโ–ˆโ–‘โ–‘โ–ˆโ–ˆโ–‘โ–ˆโ–‘โ–‘โ–ˆโ–‘
    โ”€โ”€โ”€โ”€โ–‘โ–ˆโ–ˆโ–‘โ–‘โ–‘โ–ˆโ–ˆโ–ˆโ–‘โ–‘โ–‘โ–ˆโ–‘โ–‘โ–‘โ–ˆโ–‘
    โ”€โ”€โ”€โ”€โ”€โ”€โ–‘โ–ˆโ–ˆโ–ˆโ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–ˆโ–‘โ–‘โ–‘โ–ˆโ–‘
    โ”€โ”€โ”€โ”€โ”€โ”€โ–‘โ–ˆโ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–ˆโ–‘โ–‘โ–‘โ–ˆโ–‘
    โ”€โ”€โ”€โ”€โ”€โ”€โ–‘โ–ˆโ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–ˆโ–‘
    โ”€โ”€โ”€โ”€โ”€โ”€โ–‘โ–ˆโ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–ˆโ–‘
    โ”€โ”€โ”€โ”€โ”€โ”€โ–‘โ–ˆโ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–ˆโ–‘
    โ–ˆโ–ˆโ–ˆโ–ˆโ”€โ”€โ–‘โ–ˆโ–‘โ–ˆโ–ˆโ–ˆโ–ˆโ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–ˆโ–‘
    โ–ˆโ”€โ”€โ–ˆโ”€โ”€โ–ˆโ–ˆโ–ˆโ–ˆโ”€โ”€โ–ˆโ–ˆโ–ˆโ–ˆโ–‘โ–‘โ–‘โ–‘โ–‘โ–ˆโ–‘
    โ–ˆโ”€โ”€โ–ˆโ”€โ”€โ–ˆโ”€โ”€โ–ˆโ”€โ”€โ–ˆโ”€โ”€โ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆ
    โ–ˆโ”€โ”€โ–ˆโ”€โ”€โ–ˆโ–ˆโ–ˆโ–ˆโ”€โ”€โ–ˆโ”€โ”€โ–ˆโ”€โ”€โ”€โ”€โ”€โ”€โ–ˆ
    โ–ˆโ”€โ”€โ–ˆโ”€โ”€โ–ˆโ”€โ”€โ–ˆโ”€โ”€โ”€โ”€โ–ˆโ–ˆโ”€โ”€โ–ˆโ–ˆโ”€โ”€โ–ˆ
    โ–ˆโ”€โ”€โ–ˆโ–ˆโ–ˆโ–ˆโ”€โ”€โ–ˆโ”€โ”€โ–ˆโ”€โ”€โ–ˆโ”€โ”€โ”€โ”€โ”€โ”€โ–ˆ
    โ–ˆโ”€โ”€โ”€โ”€โ”€โ–ˆโ”€โ”€โ–ˆโ”€โ”€โ–ˆโ”€โ”€โ–ˆโ”€โ”€โ–ˆโ–ˆโ–ˆโ–ˆโ–ˆ
    โ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ”€โ”€โ–ˆโ–ˆโ–ˆโ–ˆโ”€โ”€โ–ˆโ”€โ”€โ”€โ”€โ”€โ”€โ–ˆupvote if u are just watching this fro energy points
    (7 votes)
    Default Khan Academy avatar avatar for user
    • aqualine sapling style avatar for user eddie
      Me muero por ver tus ojos al volver
      Tu piel recorrer, famoso hazme de ver
      Algo bien
      Mรกs que bien
      No se va a poder, por mรกs que lo intente
      Te tocรณ perder, olvida ya el ayer
      Hace un mes
      Tambiรฉn te querรญa ver
      Tienes que entender, no queremo' reconocer
      Una y otra vez cometimos errores que
      No se arreglan ya, cuento de nunca ya acabar
      Vamos a aceptar, tรบ por aquรญ, yo por allรก
      Te recordarรฉ por siempre en mi vida, bebรฉ
      Y aunque ya lo sรฉ, que nunca ya te podrรฉ ver
      ยฟY eso quรฉ?
      Pues te amo, bebรฉ
      Te llevรฉ a Chanel, tambiรฉn escogiรณ de Cartier
      Y un dรญa se me fue, pa' un dรญa nunca ya volver
      Se me fue, eh
      No sรฉ quรฉ hacer
      Tienes que entender, no queremos reconocer
      Una y otra vez cometimos errores que
      No se arreglan ya, cuento de nunca ya acabar
      Vamos a aceptar, tรบ por aquรญ, yo por allรก
      (1 vote)
  • blobby blue style avatar for user Casares, Hemi-Von
    To expensive? THATS THE BEST DEAL FOR POPCORN. Just get Home Depot bucket and say a bucket of popcorn lol.
    (3 votes)
    Default Khan Academy avatar avatar for user
  • piceratops tree style avatar for user fantwilli29
    guu gu guuuu gu guuu gu the gu gu is gugugu
    (2 votes)
    Default Khan Academy avatar avatar for user
  • aqualine ultimate style avatar for user TacobellFireworkFart
    when the album gonna drop
    (1 vote)
    Default Khan Academy avatar avatar for user
  • blobby green style avatar for user 413639
    this video helped me out
    (1 vote)
    Default Khan Academy avatar avatar for user
  • blobby green style avatar for user Si Anna Cosby
    so could you do that every time they ask you a question like that?
    (1 vote)
    Default Khan Academy avatar avatar for user
  • starky seedling style avatar for user joeybaker5848
    Gโ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ–‘โ–ˆโ–‘โ–‘โ–‘โ–‘โ–‘โ–ˆโ–‘
    โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ–‘โ–ˆโ–‘โ–‘โ–‘โ–‘โ–‘โ–ˆโ–‘
    โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ–‘โ–‘โ–‘โ”€โ”€โ”€โ–‘โ–ˆโ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–ˆโ–‘
    โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ–‘โ–ˆโ–ˆโ–ˆโ–‘โ”€โ”€โ–‘โ–ˆโ–‘โ–‘โ–‘โ–‘โ–‘โ–ˆโ–‘
    โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ–‘โ–ˆโ–ˆโ–‘โ–‘โ–‘โ–ˆโ–ˆโ–‘โ–ˆโ–‘โ–‘โ–‘โ–‘โ–‘โ–ˆโ–‘
    โ”€โ”€โ”€โ”€โ”€โ”€โ–‘โ–ˆโ–‘โ–‘โ–ˆโ–‘โ–‘โ–‘โ–‘โ–ˆโ–ˆโ–‘โ–‘โ–‘โ–‘โ–‘โ–ˆโ–‘
    โ”€โ”€โ”€โ”€โ–‘โ–ˆโ–ˆโ–‘โ–‘โ–ˆโ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–ˆโ–‘โ–‘โ–‘โ–‘โ–ˆโ–‘
    โ”€โ”€โ”€โ–‘โ–ˆโ–‘โ–‘โ–‘โ–ˆโ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–ˆโ–ˆโ–‘โ–‘โ–‘โ–ˆโ–‘
    โ”€โ”€โ–‘โ–ˆโ–‘โ–‘โ–‘โ–‘โ–ˆโ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–ˆโ–‘โ–‘โ–‘โ–ˆโ–‘
    โ”€โ”€โ–‘โ–ˆโ–‘โ–‘โ–‘โ–‘โ–‘โ–ˆโ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–ˆโ–‘โ–‘โ–‘โ–ˆโ–‘
    โ”€โ”€โ–‘โ–ˆโ–‘โ–‘โ–ˆโ–‘โ–‘โ–‘โ–ˆโ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–ˆโ–‘โ–‘โ–ˆโ–‘
    โ”€โ–‘โ–ˆโ–‘โ–‘โ–‘โ–ˆโ–‘โ–‘โ–‘โ–‘โ–ˆโ–ˆโ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–ˆโ–‘โ–‘โ–ˆโ–‘
    โ”€โ–‘โ–ˆโ–‘โ–‘โ–‘โ–‘โ–ˆโ–‘โ–‘โ–‘โ–‘โ–‘โ–ˆโ–ˆโ–‘โ–‘โ–‘โ–ˆโ–‘โ–‘โ–‘โ–ˆโ–‘
    โ”€โ–‘โ–ˆโ–‘โ–ˆโ–‘โ–‘โ–‘โ–ˆโ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–ˆโ–ˆโ–ˆโ–‘โ–‘โ–‘โ–‘โ–ˆโ–‘
    โ–‘โ–ˆโ–‘โ–‘โ–‘โ–ˆโ–‘โ–‘โ–‘โ–ˆโ–ˆโ–‘โ–‘โ–‘โ–‘โ–‘โ–ˆโ–‘โ–‘โ–‘โ–‘โ–‘โ–ˆโ–‘
    โ–‘โ–ˆโ–‘โ–‘โ–‘โ–‘โ–ˆโ–‘โ–‘โ–‘โ–‘โ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–‘โ–‘โ–‘โ–‘โ–‘โ–ˆโ–‘
    โ–‘โ–ˆโ–‘โ–‘โ–‘โ–‘โ–‘โ–ˆโ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–ˆโ–‘โ–‘โ–‘โ–‘โ–‘โ–ˆโ–‘
    โ–‘โ–ˆโ–‘โ–ˆโ–‘โ–‘โ–‘โ–‘โ–ˆโ–ˆโ–‘โ–‘โ–‘โ–‘โ–ˆโ–‘โ–‘โ–‘โ–‘โ–‘โ–ˆโ–‘
    โ”€โ–‘โ–ˆโ–‘โ–ˆโ–‘โ–‘โ–‘โ–‘โ–‘โ–ˆโ–ˆโ–ˆโ–ˆโ–‘โ–‘โ–‘โ–‘โ–ˆโ–ˆโ–‘
    โ”€โ–‘โ–ˆโ–‘โ–‘โ–ˆโ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–ˆโ–‘โ–‘โ–ˆโ–ˆโ–‘โ–ˆโ–‘
    โ”€โ”€โ–‘โ–ˆโ–‘โ–‘โ–ˆโ–ˆโ–‘โ–‘โ–‘โ–ˆโ–ˆโ–‘โ–‘โ–ˆโ–‘โ–‘โ–‘โ–ˆโ–‘
    โ”€โ”€โ”€โ–‘โ–ˆโ–ˆโ–‘โ–‘โ–ˆโ–ˆโ–ˆโ–‘โ–‘โ–ˆโ–ˆโ–‘โ–ˆโ–‘โ–‘โ–ˆโ–‘
    โ”€โ”€โ”€โ”€โ–‘โ–ˆโ–ˆโ–‘โ–‘โ–‘โ–ˆโ–ˆโ–ˆโ–‘โ–‘โ–‘โ–ˆโ–‘โ–‘โ–‘โ–ˆโ–‘
    โ”€โ”€โ”€โ”€โ”€โ”€โ–‘โ–ˆโ–ˆโ–ˆโ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–ˆโ–‘โ–‘โ–‘โ–ˆโ–‘
    โ”€โ”€โ”€โ”€โ”€โ”€โ–‘โ–ˆโ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–ˆโ–‘โ–‘โ–‘โ–ˆโ–‘
    โ”€โ”€โ”€โ”€โ”€โ”€โ–‘โ–ˆโ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–ˆโ–‘
    โ”€โ”€โ”€โ”€โ”€โ”€โ–‘โ–ˆโ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–ˆโ–‘
    โ”€โ”€โ”€โ”€โ”€โ”€โ–‘โ–ˆโ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–ˆโ–‘
    โ–ˆโ–ˆโ–ˆโ–ˆโ”€โ”€โ–‘โ–ˆโ–‘โ–ˆโ–ˆโ–ˆโ–ˆโ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–ˆโ–‘
    โ–ˆโ”€โ”€โ–ˆโ”€โ”€โ–ˆโ–ˆโ–ˆโ–ˆโ”€โ”€โ–ˆโ–ˆโ–ˆโ–ˆโ–‘โ–‘โ–‘โ–‘โ–‘โ–ˆโ–‘
    โ–ˆโ”€โ”€โ–ˆโ”€โ”€โ–ˆโ”€โ”€โ–ˆโ”€โ”€โ–ˆโ”€โ”€โ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆ
    โ–ˆโ”€โ”€โ–ˆโ”€โ”€โ–ˆโ–ˆโ–ˆโ–ˆโ”€โ”€โ–ˆโ”€โ”€โ–ˆโ”€โ”€โ”€โ”€โ”€โ”€โ–ˆ
    โ–ˆโ”€โ”€โ–ˆโ”€โ”€โ–ˆโ”€โ”€โ–ˆโ”€โ”€โ”€โ”€โ–ˆโ–ˆโ”€โ”€โ–ˆโ–ˆโ”€โ”€โ–ˆ
    โ–ˆโ”€โ”€โ–ˆโ–ˆโ–ˆโ–ˆโ”€โ”€โ–ˆโ”€โ”€โ–ˆโ”€โ”€โ–ˆโ”€โ”€โ”€โ”€โ”€โ”€โ–ˆ
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    โ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ”€โ”€โ–ˆโ–ˆโ–ˆโ–ˆโ”€โ”€โ–ˆโ”€โ”€โ”€โ”€โ”€โ”€โ–ˆ
    (1 vote)
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  • primosaur ultimate style avatar for user lijj
    So the popcorn price is just there to distract you?
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Video transcript

- A movie theater charges $10.50 per ticket and $5 per bucket of popcorn. You never buy the popcorn because you think it's too expensive. Is the total price you pay proportional to the number of tickets you buy? This is interesting, because they tell us the price of a bucket of popcorn, but then they tell us that we never buy the popcorn. So I guess, I don't know they even told us what the price is; maybe to confuse us. Is the total price you pay proportional to the number of tickets you buy? Well, you're only buying tickets; you're not gonna be buying any popcorn, so yeah, you're gonna spend $10.50 for every ticket, so it should be proportional. Just to see that a little bit clearer, let's draw a little table here. So, number of tickets; and then price, the total price. We're assuming I never buy the popcorn. So, if I buy one ticket, the price is going to be 10.50. If I buy two tickets, it's gonna be two times 10.50, or $21.00. If I buy three tickets, gonna be three times 10.50, which is what? 31.50. And so, you can see the ratio between price and number of tickets, it's always going to be 10.50. 10.50 divided by one; 21 divided by two; 31.50 divided by three; it's always going to be 10.50. That's 'cause the price, put another way, the price is just going to be 10.50 times the number of tickets. So, clearly a proportional relationship.