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A sauce recipe uses 4 cans of tomatoes in every 2 1/2 quarts.

How many cans of tomatoes are used in each quart of the sauce?


Enter your answer in the box as a mixed number in simplest form.


Respuesta :

3/4 Is the answer to your questions

Answer:

1 [tex]\frac{3}{5}[/tex]  can of tomatoes are used in each quart

Step-by-step explanation:

To find the number of tomatoes used in each quarts, we will follow the steps below;

Using proportion to solve, let x be the number of cans needed in each quart

4 cans =  2 [tex]\frac{1}{2}[/tex] quarts

  x       =  1     quart

cross-multiply

2 [tex]\frac{1}{2}[/tex] x = 4

[tex]\frac{5x}{2}[/tex]   = 4

cross-multiply

5x = 8

Divide both-side of the edquation by 5

[tex]\frac{5X}{5}[/tex]  =  [tex]\frac{8}{5}[/tex]

(On the left-hand side of the equation 5 at the numerator will cancel-out  5 at the denominator while at the right-hand side of the equation 8 will be divided by 5)

x = [tex]\frac{8}{5}[/tex]

x = 1 [tex]\frac{3}{5}[/tex]  can

Therefore 1 [tex]\frac{3}{5}[/tex]  can of tomatoes are used in each quart