Question

Sophia blends 1/3 cup of

strawberry syrup with every 1/5 cup
of blueberry syrup to make a fruity
syrup mixture.
Enter the amount of cups of
strawberry syrup Sophia will use for
1 cup of blueberry syrup.

Answer 1

For 1 cup of blueberry syrup, Sophia will use 5/3 cups, or 1 2/3 cups, of strawberry syrup.

Step-by-step explanation:

To determine the amount of cups of strawberry syrup Sophia will use for 1 cup of blueberry syrup, we set up a proportion using the provided ratios. Sophia blends 1/3 cup of strawberry syrup with every 1/5 cup of blueberry syrup. Therefore, for 1 cup (which is equivalent to 5/5 cups) of blueberry syrup, we need to find out how many 1/5 cups there are in a whole cup:

1 cup ÷ 1/5 cup = 5 (there are 5 portions of 1/5 cup in 1 cup)

Since each 1/5 cup of blueberry syrup is accompanied by 1/3 cup of strawberry syrup, we multiply the number of portions by the amount of strawberry syrup per portion:

5 × 1/3 cup = 5/3 cups

Therefore, Sophia will use 5/3 cups (which can also be simplified to 1 2/3 cups) of strawberry syrup for 1 cup of blueberry syrup.