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If the ratio of frozen pizzas to fresh pizzas is exactly 5:3, then the grocery store could have fresh pizzas when it has 70 frozen pizzas.

A) True
B) False

User Droplet
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1 Answer

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Final answer:

The statement that the grocery store could have fresh pizzas when it has 70 frozen pizzas, maintaining a ratio of 5:3, is true because solving the proportion results in a whole number, 42 fresh pizzas.

Step-by-step explanation:

If the ratio of frozen pizzas to fresh pizzas is exactly 5:3, we must determine if having 70 frozen pizzas allows for a number of fresh pizzas that maintains this ratio. To keep the ratio of 5:3, the number of fresh pizzas (F) can be calculated using the ratio where 5 parts represent the frozen pizzas and 3 parts represent the fresh pizzas:

5/3 = 70/F

By cross-multiplying, we get:

5F = 210

Now, we divide both sides by 5 to solve for F:

F = 210 / 5

F = 42

Since 42 is a whole number, it is indeed possible to have 42 fresh pizzas that keep the ratio of 5:3 when there are 70 frozen pizzas. Therefore, the statement is true.

User UX Labs
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