Question

Lemonade stand money is divided between Saria, Tom, and Ulysses such that Thomas gets 9 times as much as Saria, and the amount that Ulysses receives is equal to the difference between the amounts that the other two receive. Express the shares as a ratio in its simplest form.

a) Saria:Tom:Ulysses = 1:9:8
b) Saria:Tom:Ulysses = 1:8:9
c) Saria:Tom:Ulysses = 8:1:9
d) Saria:Tom:Ulysses = 9:1:8

Answer 1

The correct ratio of money divided between Saria, Tom, and Ulysses is 1:9:8. Tom receives 9 times Saria's amount, and Ulysses receives the difference between the amounts of Tom and Saria.

Step-by-step explanation:

The problem involves dividing money between Saria, Tom, and Ulysses with specific conditions. Tom gets 9 times as much as Saria, and Ulysses gets the difference between Tom's and Saria's amounts. To express their shares as a ratio, let's assume Saria gets x amount. Then, Tom gets 9x and the amount Ulysses receives is 9x - x. Simplifying, Ulysses gets 8x.

This means the ratio of Saria:Tom:Ulysses is x:9x:8x. When simplifying, we get the simplest form by dividing each term of the ratio by x. Therefore, the ratio of their shares simplifies to 1:9:8.