Joel made raspberry and strawberry smoothies for a party 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 represent the number of raspberry smoothies made and let y represent the number of strawberry smoothies made. Which equation represents the relationship between the number of raspberry smoothies and the number of strawberry smoothies Joel made?

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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