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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?

AKim paid the most.
BSherri paid the most.
CJudy paid the most.
DThey all paid the same amount.

Verified Answer :

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

Answer:

A is the correct option.

Step-by-step explanation:

Let the total amount of the bill is x

Hence. amount paid by Kim is \(\frac{3}{7}x=0.429x\)

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.