Sure, let's tackle this step by step!
1. Understand the given data:
- The price of apples is [tex]\( \$3.20 \)[/tex] per pound.
- You need to buy [tex]\( 3 \frac{1}{5} \)[/tex] pounds of apples.
2. Convert the mixed number to a decimal:
- The mixed number [tex]\( 3 \frac{1}{5} \)[/tex] can be converted to an improper fraction or a decimal.
- [tex]\( 3 \frac{1}{5} \)[/tex] is the same as [tex]\( 3 + \frac{1}{5} \)[/tex].
- To convert [tex]\( \frac{1}{5} \)[/tex] to a decimal:
[tex]\[ \frac{1}{5} = 0.2 \][/tex]
- So, [tex]\( 3 \frac{1}{5} \)[/tex] in decimal form is:
[tex]\[ 3 + 0.2 = 3.2 \][/tex] pounds.
3. Calculate the total cost:
- To find the total cost, you multiply the price per pound by the number of pounds you are buying.
- Using the values given:
[tex]\[ 3.20 \, (\text{price per pound}) \times 3.2 \, (\text{pounds to buy}) \][/tex]
4. Perform the multiplication:
- The total cost is:
[tex]\[ 3.20 \times 3.2 = 10.240000000000002 \][/tex]
5. Write the final answer:
- Therefore, you will spend:
[tex]\[ 10.24 \][/tex]
Hence, you will spend [tex]\( \$10.24 \)[/tex] to buy [tex]\( 3 \frac{1}{5} \)[/tex] pounds of apples.