If it takes Jacob 1/2 bag of cheese to cover 3/4 of a pizza. How many bags of cheese does jacob use per pizza

To solve this, we can set up a proportion to determine how much cheese Jacob uses per full pizza.

Jacob uses \( \frac{1}{2} \) of a bag of cheese to cover \( \frac{3}{4} \) of a pizza. We need to find out how much cheese he uses for 1 pizza.

Let \( x \) represent the amount of cheese used for 1 full pizza.

We can set up the following proportion:
\[
\frac{1/2 \text{ bags}}{3/4 \text{ pizza}} = \frac{x \text{ bags}}{1 \text{ pizza}}
\]

Now, solve for \( x \):
\[
x = \frac{(1/2) \times 1}{3/4} = \frac{1/2}{3/4}
\]

Dividing fractions:
\[
x = \frac{1/2} \times \frac{4}{3} = \frac{4}{6} = \frac{2}{3}
\]

So, Jacob uses \( \frac{2}{3} \) of a bag of cheese for a full pizza.

### Would you like more details on this process or have any further questions?

Here are some related questions to explore:
1. If Jacob used 1 bag of cheese, how many pizzas could he cover?
2. How much cheese would he need for 2 pizzas?
3. What if Jacob used 3/4 of a bag of cheese—how much pizza could he cover?
4. If the amount of cheese required per pizza changed, how would that affect the calculation?
5. What if the pizza size increased, but the cheese used remained the same—how would this impact coverage?

**Tip:** When solving word problems, setting up a proportion based on the information given can help organize and solve the problem efficiently.

If it takes Jacob 1/2 bag of cheese to cover 3/4 of a pizza. How many bags of cheese does Jacob use per pizza?

Find out how many bags of cheese Jacob uses for a full pizza if he uses 1/2 of a bag to cover 3/4 of the pizza. This problem demonstrates the use of proportions and fractions, and is suitable for students in Grades 5-7.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation