Question

The school band bought cheese and pepperoni pizzas in the ratio represented in the tape diagram for their end of year party. Based on the ratio how many pepperoni pizzas did they buy if they bought 12 cheese pizzas?

Answer 1

If the school band bought 12 cheese pizzas in a ratio of 3 cheese pizzas to 1 pepperoni pizza, they would have bought 4 pepperoni pizzas.

If the ratio of cheese pizzas to pepperoni pizzas is 3:1, and they bought 12 cheese pizzas, you can use this ratio to find the number of pepperoni pizzas.

Given that the ratio of cheese pizzas to pepperoni pizzas is 3:1, for every 3 cheese pizzas, there is 1 pepperoni pizza.

If they bought 12 cheese pizzas, you can use this ratio to find how many pepperoni pizzas were bought.

Divide the number of cheese pizzas by the number of parts of cheese pizzas in the ratio to find how many sets of 3 cheese pizzas were purchased:

`\(\text{Number of sets of 3 cheese pizzas} = \frac{\text{Total cheese pizzas bought}}{\text{Parts of cheese pizzas in the ratio}} = (12)/(3) = 4\)`

Since the ratio states that for every 3 cheese pizzas, there is 1 pepperoni pizza, and there are 4 sets of 3 cheese pizzas (which equals 12 cheese pizzas), there would be 4 pepperoni pizzas.

Therefore, if they bought 12 cheese pizzas based on the 3:1 ratio, they would have bought 4 pepperoni pizzas.

Answer 2

The cheese pizza is represented by 3 rectangles while the pepperoni pizza is represented by 1 rectangle.

Therefore, the ratio of cheese to pepperoni pizza is:

3 : 1

This means that if there are 3 cheese pizzas, then there will be 1 pepperoni pizza

Therefore, since they bought 12 cheese pizzas, it means that:

CCC + CCC + CCC + CCC = 12 cheese pizzas ( where C is cheese)

P + P + P + P = 4 pepperoni pizzas ( where P is pepperoni)

Thus, they bought 4 pepperoni pizzas