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Adriana Is Making a Quilt for a Friend's New Baby. She Knows How to Sew 3 Quilt Patterns and Can Choose from 3 Color Schemes. There Are

Question

Adriana is making a quilt for a friend's new baby. She knows how to sew 3 quilt patterns and can choose from 3 color schemes. There are 9 colors of quilting thread available. Finally, the quilt batting, or stuffing, comes in 8 thicknesses. How many different quilts is it possible for Adriana to sew? square quilts

Solution

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Answer

### 648

Explanation

## Step 1: Calculate the number of choices for the pattern and color scheme.### Adriana can choose from 3 quilt patterns and 3 color schemes. Multiply these together to find the total number of pattern/color combinations: .## Step 2: Calculate the number of choices including thread color.### There are 9 thread colors available. Multiply this by the previous result to find the total number of pattern/color/thread combinations: .## Step 3: Calculate the total number of different quilts.### The quilt batting comes in 8 thicknesses. Multiply this by the previous result to find the total number of different quilts Adriana can make: .