Question

4. Brice found three recipes for blueberry syrup. Of the ingredients, the ingredients only

differed on the amount of blueberries and sugar:
Classic Blueberry syrup: 6 cups blueberries and 2 cups sugar
Homestyle Blueberry syrup: 2 cups blueberries and 1/2 cup sugar
Country Blueberry syrup: 20 cups blueberries and 7 cups sugar
Which recipe will be the sweetest?
A Classic Blueberry syrup: 6 cups blueberries and 2 cups sugar
B Homestyle Blueberry syrup: 2 cups blueberries and 1/2 cup sugar
Country Blueberry syrup: 20 cups blueberries and 7 cups sugar

Answer 1

To find the sweetest blueberry syrup recipe, the sugar-to-blueberries ratio for each recipe is compared. The Country Blueberry syrup has the highest ratio, making it the sweetest among the options.

Step-by-step explanation:

To determine which blueberry syrup recipe will be the sweetest, we need to compare the ratio of sugar to blueberries in each one. The recipe with the highest sugar-to-blueberries ratio will be the sweetest.

• Classic Blueberry syrup: 6 cups blueberries and 2 cups sugar
• Homestyle Blueberry syrup: 2 cups blueberries and 1/2 cup sugar
• Country Blueberry syrup: 20 cups blueberries and 7 cups sugar

By calculating these ratios we get:

• Classic Blueberry syrup ratio: 2/6 = 0.333
• Homestyle Blueberry syrup ratio: 0.5/2 = 0.25
• Country Blueberry syrup ratio: 7/20 = 0.35

Comparing these ratios, we find that the Country Blueberry syrup has the highest sugar-to-blueberries ratio (0.35), making it the sweetest of the three recipes.

Answer 2

The answer would be A&C) the classic blue berry syrup because for each cup on blueberries you’re using 1/3 cup of sugar. Whereas, if you made the home style, you would be using 1/4 cup of sugar per cup of blue berries.