Answer:
75 servings
Explanation:
1. Form an equation
As per the given information;
- starts with 40 cups of juice
- uses 5/8 of the juice
-Splits the remaining serving amongst people, giving each person (1/5) of a cup
Hence the equation is;
(40 -
(40)) ÷
![(1)/(5)](https://img.qammunity.org/2021/formulas/mathematics/high-school/nve42zwxkm2ttkh80stksgu37lazt1jlhm.png)
2. Solve the equation
(40 -
(40)) ÷
![(1)/(5)](https://img.qammunity.org/2021/formulas/mathematics/high-school/nve42zwxkm2ttkh80stksgu37lazt1jlhm.png)
Simplify;
(40 - 25) ÷
![(1)/(5)](https://img.qammunity.org/2021/formulas/mathematics/high-school/nve42zwxkm2ttkh80stksgu37lazt1jlhm.png)
Dividing by a fraction is the same as multiplying by the fraction's reciprocal;
(40 - 25) * 5
Follow the order of operations, remember the order of operations are;
1. parenthesis
2. exponents
3. multiplication, division
4. addition, subtraction
Parenthsis first
(40 - 25) * 5
15 * 5
Multiply next
15 * 5
75