Paolo is using his grandmother's breakfast bar recipe. He always doubles
the amount of yogurt and oats. The recipe calls for 2 1/2 cups of
yogurt.
The total amount of yogurt and oats after doubling is 6 1/3 cups. Write an
equation to find the original amount of oats in the recipe.
I just need the equation i don't need the answer!!!! pls help me!!!!

Respuesta :

Answer:

[tex]6\frac{1}{3}[/tex] = [tex]2\frac{1}{2}[/tex] * 2 + [tex]\frac{x}{2}[/tex]

Step-by-step explanation:

lets start with what we know.

the recipe calls for 2 [tex]\frac{1}{2}[/tex] cups of yogurt. and Paolo doubles the recipe. so multiply the recipe for yogurt by 2

2 [tex]\frac{1}{2}[/tex] * 2 = 5 cups of yogurt.

the total of yogurt and oats is [tex]6\frac{1}{3}[/tex] and we know how much yogurt we have so we subtract that from the total of both.

[tex]6\frac{1}{3}[/tex] - 5 = [tex]1\frac{1}{3}[/tex]

the oats after doubling were [tex]1\frac{1}{3}[/tex] cups so u divide it by 2

[tex]1\frac{1}{3}[/tex] / 2 = [tex]\frac{2}{3}[/tex] before doubling