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Lesson 9: Writing basic algebraic expressions word problems

# Writing basic expressions word problems

Susie runs a race at 5 miles per hour for t hours. To find the distance, multiply her speed by time (5t). In a poker game, winnings are split among p players, so each gets \$548/p. Phil's net winnings are x dollars minus the \$100 entry fee. Hillary makes 48 chocolate chip cookies and y sugar cookies, totaling 48+y cookies.

## Want to join the conversation?

The attendance at a cricket match was 7000.
There were x adults and y children at the match.
a) Make an equation for this.
The price of an adult ticket for a match was £20 and for a child £8.
The total income from selling tickets was £123200
b) Make another equation from the information given above.
c) Solve your two equations to find the number of adults and children at the cricket match.

• Let me walk you through this step by step. Firstly, we know that the value of x and the value of y have to add up to 7,000. Therefore, we know our first equation (for part A) must be x + y = 7,000 or y + x = 7,000. Since we are adding, it does not matter which way we write this. Secondly, since the value of the adult tickets must be ([number of adult tickets] * [cost of adult ticket]) + ([number of child tickets] * [cost of child ticket]). This gives us (x * 20) + (y * 8), so Part B's equation must be 20x + 8y = 123,200. Now from there, I'm afraid that I'm not much help! I think I learned a simple way to solve this at some point or another, but I must have forgotten. However, my advice would just be trial&error/guess&check. Pick 2 random numbers that add up to 7,000 and plug them in to the equation for part B as the values for x and y, and see what answer your equation yields. If it's exactly 123200, then congrats, you are a master of guessing! If it's too high, try making the x value smaller and the y value higher. If it's too low, try making the y value smaller and the x value higher. Keep trying until you get it. Hope this helps you, and stay safe!
Sal, thank you for making me hungry.
But to be on topic, when your making that many chocolate chip, wouldn't you run out of sugar for the sugar cookies?

(And now I want some cookies and milk..........🍪🥛)
• what is the easiest way to learn this?
• In word problems, product means multiplication, more, add, or increase implies addition, less or decrease means subtraction, and split or quotient is division. :)
• how do I make the division symbol on the computer
• Just use the slash.
• nine less than the quotient of twice a number and four
• Let’s call “a number” x. Twice a number is 2x, and quotient means division, so the quotient of twice a number and four is 2x/4.

“Nine less than” means that we subtract 9 (instead of subtracting from 9).

So nine less than the quotient of twice a number and four is 2x/4 - 9. If we are asked to simplify, the answer would become x/2 - 9.
• i swear these get harder and harder😒
i need some help 😭
• Well the lucky part is you don’t have to find the EXACT answer. You just do the equation. Let’s say Jamal and friends have 270\$. He has to divide it equally among t amount of friends. The expression would be 270÷t because you are splitting up the money. Did this help?
• Can you help me please the question is
Suzie paid a total of \$324 for x tickets to a rock festival
How much did each ticket cost?
(1 vote)
• \$324/x is the expression