Questions: Practice 6.21 flour 0 3 6 9 12 sugar 0 2 4 6 8 The same cake recipe uses 2 cups of sugar for every 3 cups of flour. How much sugar do you need for 18 cups of flour? Submit Problem 4 3 of 9 Next

Practice 6.21

flour
0
3
6
9
12

sugar
0
2
4
6
8

The same cake recipe uses 2 cups of sugar for every 3 cups of flour.

How much sugar do you need for 18 cups of flour?

Submit

Problem 4

3 of 9

Next

Transcript text: Practice 6.21 flour 0 3 6 9 12 sugar 0 2 4 6 8 The same cake recipe uses 2 cups of sugar for every 3 cups of flour. How much sugar do you need for 18 cups of flour? Submit Problem 4 3 of 9 Next

Solution

Solution Steps

Step 1: Identify the given ratio

The problem states that the ratio of flour to sugar is 3 cups of flour for every 2 cups of sugar.

Step 2: Set up the proportion

We need to find out how much sugar is needed for 18 cups of flour. Set up the proportion based on the given ratio: \[ \frac{3 \text{ cups of flour}}{2 \text{ cups of sugar}} = \frac{18 \text{ cups of flour}}{x \text{ cups of sugar}} \]

Step 3: Solve the proportion

Cross-multiply to solve for \( x \): \[ 3x = 2 \times 18 \] \[ 3x = 36 \] \[ x = \frac{36}{3} \] \[ x = 12 \]