How to find the part from the whole with fractions

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ACT Math › How to find the part from the whole with fractions

Questions 1 - 2

On Friday night, Maria sells $\frac{1}{5}$ of her stock of apples. On Saturday, she sells $\frac{1}{4}$ of the remaining apples. What fraction of her original stock of apples does Maria have left for sale on Sunday?

$\frac{3}{5}$

$\frac{2}{5}$

$\frac{1}{2}$

$\frac{9}{20}$

$\frac{1}{3}$

Explanation

Friday: $\frac{1}{5}$ apples sold

Saturday: This means that $\frac{4}{5}$ of her stock is remaining at this point.

$\frac{1}{4}\cdot \frac{4}{5}= \frac{1}{5}$ of her stock of apples was sold on Saturday.

By the end of Saturday, $\frac{2}{5}$ of her stock has been sold $(\frac{1}{5}+\frac{1}{5})$ . If $\frac{2}{5}$ of her stock has been sold, $\frac{3}{5}$ remains to be sold on Sunday.

Michael Phelps’ workout program consists of Aerobics, Bench Presses, and Cycling. Aerobics and Bench Presses take a total of 24 minutes, Bench Press and Cycling take a total of 40 minutes, and the entire workout takes a total of 56 minutes. How many minutes are required for the Bench Press portion of his workout?

4 minutes

8 minutes

16 minutes

32 minutes

40 minutes

Explanation

To find your answer, we would use substitution within a system of equations. If (A+B) +C = 56, we can replace (A+B )= 24 to get (24) + C = 56, Thus making C = 32. Then we can replace C with 32 in the equation B+C = 40, thus making B + (32) = 40 to get an answer of 8.

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