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.