The equation represents the relationship between the number of raspberry smoothies and the number of strawberry smoothies Joel made
[tex]\frac{2}{3}x+\frac{3}{2}y=10[/tex]
Given :
Each raspberry smoothie uses 2/3 cup of yogurt , and each Strawberry smoothie uses 1 1/2 cups of yogurt Joel used a total of 10 cups of yogurt.
Let x represents number of raspberry and y represents the number of strawberry smoothies made.
Each raspberry smoothie uses [tex]\frac{2}{3}[/tex] cup of yogurt
x raspberry smoothie uses [tex]\frac{2}{3} x[/tex] cup of yogurt
each Strawberry smoothie uses [tex]1\frac{1}{2} =\frac{3}{2}[/tex] cups of yogurt
y Strawberry smoothie uses [tex]\frac{3}{2} y[/tex] cups of yogurt
Total of 10 cups of yogurt used
raspberry smoothie(yogurt) + strawberry smoothie (yogurt)=10 cups
[tex]\frac{2}{3}x+\frac{3}{2}y=10[/tex]
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