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Mateo ate StartFraction 3 over 8 EndFraction of a pizza, which was a total of 510 calories of food. Which equation can be used to determine the total number of calories in the entire pizza?
StartFraction 3 over 8 EndFraction x = 510
StartFraction x over 510 EndFraction = StartFraction 3 over 8 EndFraction
StartFraction 3 over 8 EndFraction = 510 x
StartFraction 3 over 8 EndFraction (510) = x

Respuesta :

frika

Answer:

[tex]\dfrac{3}{8}x=510[/tex]

Step-by-step explanation:

Let x calories be the total number of calories in the entire pizza.

Mateo ate [tex]\frac{3}{8}[/tex] of a pizza, which was a total of 510 calories of food.

Then

[tex]\dfrac{3}{8}\text{ of a pizza}\ - \ 510\text{ calories }\\ \\1 \text{ pizza }\ - \ x\text{ calories}[/tex]

Write a proportion:

[tex]\dfrac{\frac{3}{8}}{1}=\dfrac{510}{x}[/tex]

Cross multiply:

[tex]\dfrac{3}{8}x=510[/tex]

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