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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VanceProfessional · Tutor for 6 years
Answer
### 648
Explain
## Step 1: Calculate the number of choices for the pattern and color scheme.<br />### Adriana can choose from 3 quilt patterns and 3 color schemes. Multiply these together to find the total number of pattern/color combinations: $3 \times 3 = 9$.<br /><br />## Step 2: Calculate the number of choices including thread color.<br />### There are 9 thread colors available. Multiply this by the previous result to find the total number of pattern/color/thread combinations: $9 \times 9 = 81$.<br /><br />## Step 3: Calculate the total number of different quilts.<br />### The quilt batting comes in 8 thicknesses. Multiply this by the previous result to find the total number of different quilts Adriana can make: $81 \times 8 = 648$.
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