Question

the school band bought cheese and pepperoni pizzas in the ratio represented in the tape diagram for their end of year party.
cheese pizzas
diagram of 3 yellow rectangles labeled cheese pizzas and 1 pink rectangle labeled pepperoni pizzas
pepperoni pizzas
based on the ratio, if they bought 6 cheese pizzas, how many total pizzas did they buy?
blank total pizzas

Explanation:

Step1: Determine the ratio of cheese to pepperoni pizzas

From the tape diagram, cheese pizzas are represented by 3 parts and pepperoni by 1 part. So the ratio of cheese to pepperoni is \( 3:1 \).

Step2: Find the number of pepperoni pizzas when cheese is 6

Let the number of pepperoni pizzas be \( x \). Using the ratio \( \frac{3}{1}=\frac{6}{x} \), cross - multiply: \( 3x = 6\times1 \), so \( x=\frac{6}{3}=2 \).

Step3: Calculate the total number of pizzas

Total pizzas = number of cheese pizzas + number of pepperoni pizzas. So total pizzas \( = 6 + 2=8 \).

Answer:

8