In a recipe for fizzy grape juice, the ratio of cups of sparkling water to cups of grape juice concentrate is 3 to 1. a) Find two more ratios of cups of sparkling water to cups of juice concentrate that would make a mixture that tastes the same as this recipe.

Answer :

Answer:

[tex]6:2,\,9:3[/tex]

Step-by-step explanation:

Given: The ratio of cups of sparkling water to cups of grape juice concentrate is [tex]3:1[/tex] in a recipe for fizzy grape juice.

To find: two more ratios of cups of sparkling water to cups of juice concentrate that would make a mixture that tastes the same as this recipe

Solution:

Equivalent ratios are the ratios that have the same value.

Find two ratios equivalent to [tex]3:1=\frac{3}{1}[/tex]

Multiply both numerator and denominator of [tex]\frac{3}{1}[/tex] by 2

[tex]\frac{3(2)}{1(2)} =\frac{6}{2}[/tex]

Multiply both numerator and denominator of [tex]\frac{3}{1}[/tex] by 3

[tex]\frac{3(3)}{1(3)} =\frac{9}{3}[/tex]

So, two more ratios of cups of sparkling water to cups of juice concentrate that would make a mixture that tastes the same as this recipe are [tex]6:2,\,9:3[/tex]

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