Question

Patel squeezed oranges so that his family could have fresh-squeezed juice for breakfast. He squeezed StartFraction 4 over 17 EndFraction cups from the first orange, StartFraction 3 over 10 EndFraction cups from the second orange, StartFraction 9 over 20 EndFraction cups from the third orange, StartFraction 3 over 11 EndFraction cups from the fourth orange, and StartFraction 7 over 15 EndFraction cups from the fifth orange. Patel estimates that he needs 3 cups of orange juice for his family. About how much more orange juice does he need to reach his estimate?

A. One-sixth cups
B. Five-sixths cups
C. 1 and two-thirds cups
D. 1 and StartFraction 5 over 6 EndFraction cups

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find how much more orange juice Patel needs to reach his estimate, we need to add up the amount of orange juice he squeezed from each orange.

StartFraction 4 over 17 EndFraction cups + StartFraction 3 over 10 EndFraction cups + StartFraction 9 over 20 EndFraction cups + StartFraction 3 over 11 EndFraction cups + StartFraction 7 over 15 EndFraction cups = StartFraction 4542 over 9350 EndFraction cups.

Patel estimated that he needs 3 cups of orange juice, so the difference between the amount he squeezed and his estimate is:

StartFraction 4542 over 9350 EndFraction cups - 3 cups = StartFraction 4542 over 9350 EndFraction cups - StartFraction 3 * 9350 over 9350 EndFraction cups = StartFraction 4542 - 28050 over 9350 EndFraction cups = StartFraction 23508 over 9350 EndFraction cups = StartFraction 11754 over 4675 EndFraction cups.

To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 37.

StartFraction 11754 over 4675 EndFraction cups = StartFraction 11754 ÷ 37 over 4675 ÷ 37 EndFraction cups = StartFraction 318 over 125 EndFraction cups.

So Patel needs an additional StartFraction 318 over 125 EndFraction cups of orange juice to reach his estimate.

To find the answer choice that is closest to this amount, we can compare StartFraction 318 over 125 EndFraction to each of the answer choices.

A. One-sixth cups = StartFraction 1 over 6 EndFraction = 0.16667
B. Five-sixths cups = StartFraction 5 over 6 EndFraction = 0.83333
C. 1 and two-thirds cups = StartFraction 5 over 3 EndFraction = 1.66667
D. 1 and StartFraction 5 over 6 EndFraction cups = StartFraction 11 over 6 EndFraction = 1.83333

Since StartFraction 318 over 125 EndFraction is closest to 1 and two-thirds cups, the answer is C. 1 and two-thirds cups.