Question

Maurice is making snacks for his friends by putting equal amounts of trail mix in each bag. He started with 4 4/5 cups, but his got hungry and ate 15cup of the mix himself. He then portioned 3/5 cup of mix evenly into each bag for the friends. How many complete bags was Maurice able to make.
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Answer 1

Answer:

$\boxed{7}$

Step-by-step explanation:

1. Subtract what Maurice ate

4⅘ c

- ⅕ c

4⅗ c

2. Calculate the number of bags

$\text{Number of bags }= \dfrac{\text{Total volume}}{\text{Volume of each bag}} = 4\frac{3}{5} \div \frac{3}{5}$

(a) Convert the mixed number to an improper fraction

$4\frac{3}{5} \div \frac{3}{5} = \frac{23}{5}\div\frac{3}{5}$

(b) Invert the denominator and change division to multiplication

$\frac{23}{5}\div\frac{3}{5} = \frac{23}{5}\times \frac{5}{3}$

(c) Cancel the 5s

$\frac{23}{5}\times \frac{5}{3} = \frac{23}{3}$

(d) Convert the improper fraction to a mixed number.

$\frac{23}{3} = \mathbf{7\frac{2}{3}}\\\text{Maurice can make \boxed{\mathbf{7}} complete bags of trail mix.}$