Mathematics: 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. plz meee i need it now i will give brainleist and shout u out pl i need plz me

Maurice is making snacks for his friends by putting

ayandjay01

03.01.2022

$\boxed{7}$

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

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

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

(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.}$

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