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

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

Explanation:

1. Calculate the number of milkshakes

`\text{Number of milkshakes}= \frac{\text{Total volume}}{\text{Volume of each milkshake}} = 3 / (1)/(8)`

Invert the denominator and change division to multiplication

`3/(1)/(8) = 3* (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}= \frac{\text{Total volume}}{\text{Volume of each double milkshake}} = 3 / (1)/(4)`

Invert the denominator and change division to multiplication

`3/(1)/(4) = 3* (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}= \frac{\text{Total volume}}{\text{Volume of each triple milkshake}} = 3 / (3)/(8)`

Invert the denominator and change division to multiplication

`3/(3)/(8) = 3* (8)/(3)`

Cancel the 3s

`3* (8)/(3) = \mathbf{8}\\\\\text{LiAnn can make $\boxed{\mathbf{8}}$ triple milkshakes}`