Question

Kim paid 3/7 of a bill, Sherri paid 35% of the bill, and Judy paid the rest.

Which of the following statements is true?

A. Kim paid the most.
B. Sherri paid the most.
C. Judy paid the most.
D. They all paid the same amount.

Answer 1

A is the correct option.

Explanation:

Let the total amount of the bill is x

Hence. amount paid by Kim is
`(3)/(7)x=0.429x`

Amount paid by Sherri is
`35\% \text{ of } x=0.35x`

And the amount paid by Judy is
`x-0.429x-0.35x=0.221x`

Now, we can see that

0.429x > 0.35x > 0.221x

Hence, we can conclude that Kim paid the most.

A is the correct option.

Answer 2

The answer is A. Kim paid the most.

x - the total amount
k - Kim's amount
s - Sherri's amount
j - Judy's amount

k + s + j = x
k = 3/7 x = 0.43 x
s = 35%x = 0.35x
j = x - k - s = x - 0.43x - 0.35 x = x - 0.78x = 0.22x

So:
0.43x > 0.35x > 0.22x
k > s > j