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 2 cups of orange juice for his family. About how much more orange juice does he need to reach his estimate? One-sixth cups Five-sixths cups 1 and two-thirds cups 1 and StartFraction 5 over 6 EndFraction cups

Answer 1

Given:

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 2 cups of orange juice for his family.

To find:

How much more orange juice does he need to reach his estimate?

Solution:

The quantity of orange juice squeezed by Patel from each orange:

$1st \: orange \rightarrow \frac{4}{17} \:cups$

$2nd \: orange \rightarrow \frac{3}{10} \:cups$

$3rd \: orange \rightarrow \frac{9}{20} \:cups$

$4th \: orange \rightarrow \frac{3}{11} \:cups$

$5th\: orange \rightarrow \frac{7}{15} \:cups$

Total cups of orange juice squeezed by Patel is,

= $\frac{4}{17} + \frac{3}{10} + \frac{9}{20} + \frac{3}{11} + \frac{7}{15}$

taking L.C.M. of the denominators i.e., L.C.M. of 17, 10, 20, 11 & 15 = 11220

= $\frac{2640 \:+ \:3366 \:+\: 5049 \:+\: 3060\: +\: 5236 }{11220}$

= $\frac{19351}{11220}\:cups$

But, Patel needs 2 cups of juice for his family

∴ The quantity of juice he needs to reach his estimate is,

=  $2 - \frac{19351}{11220}$

= $\frac{22440 \:-\: 19351}{11220}$

= $\frac{3089}{11220} \: cups$

≈ $\bold{0.2753 \:cups}$

Now, we will observe the given options:

(1). $\frac{1}{6}$ → 0.167 cups

(2). $\frac{5}{6}$ → 0.833 cups

(3). $1\frac{2}{3}$ = $\frac{5}{3}$ → 1.67 cups

(4). $1\frac{5}{6} = \frac{11}{6}$ → 1.833 cups

Since from all 4 options, the closest to our answer i.e., 0.2753 cups is the first option i.e., $\frac{1}{6} \:cups$

Thus, Patel needs about $\underline{\bold{\frac{1}{6}\:cups }}$ of orange juice to reach his estimate.

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Answer 2

Answer:I think it is a

Step-by-step explanation: