Question

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 1

Answer:

$6:2,\,9:3$

Step-by-step explanation:

Given: The ratio of cups of sparkling water to cups of grape juice concentrate is $3:1$ 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 $3:1=\frac{3}{1}$

Multiply both numerator and denominator of $\frac{3}{1}$ by 2

$\frac{3(2)}{1(2)} =\frac{6}{2}$

Multiply both numerator and denominator of $\frac{3}{1}$ by 3

$\frac{3(3)}{1(3)} =\frac{9}{3}$

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 $6:2,\,9:3$