Question

LiAnn works in the Olde Tyme Soda Shopee. The shop sells milkshakes, double milkshakes, and triple milkshakes. A shake uses 1/8 cup of syrup, a double shake uses 1/4 cup of syrup, and a triple shake uses 3/ 8 cup of syrup. How many shakes of each kind could she make with 3 cups of syrup?

Answer 1

Answer:

$\large \boxed{24; 12; 8}$

Step-by-step explanation:

1. Calculate the number of milkshakes

$\text{Number of milkshakes}= \dfrac{\text{Total volume}}{\text{Volume of each milkshake}} = 3 \div \dfrac{1}{8}$

Invert the denominator and change division to multiplication

$3\div\frac{1}{8} = 3\times \dfrac{8}{1} = \mathbf{24}\\\\\text{LiAnn can make \large \boxed{\mathbf{24}} milkshakes}$

2. Calculate the number of double milkshakes

$\text{Number of double milkshakes}= \dfrac{\text{Total volume}}{\text{Volume of each double milkshake}} = 3 \div \dfrac{1}{4}$

Invert the denominator and change division to multiplication

$3\div\dfrac{1}{4} = 3\times \dfrac{4}{1} = \mathbf{12}\\\\\text{LiAnn can make \large \boxed{\mathbf{12}} milkshakes}$

3. Calculate the number of triple milkshakes

$\text{Number of triple milkshakes}= \dfrac{\text{Total volume}}{\text{Volume of each triple milkshake}} = 3 \div \dfrac{3}{8}$

Invert the denominator and change division to multiplication

$3\div\dfrac{3}{8} = 3\times \dfrac{8}{3}$  

Cancel the 3s

$3\times \dfrac{8}{3} = \mathbf{8}\\\\\text{LiAnn can make \boxed{\mathbf{8}} triple milkshakes}$