### Instruction: Chloe wants to buy a hoodie that costs $\$32.75$. She empties her wallet and finds she only has three $\$10$ bills, eight quarters, and a pile of dimes. What is the minimum number of dimes that must be in her pile so she can pay for the hoodie?### Response: To buy the hoodie, Chloe needs to have at least $\$32.75$ in her wallet.
She already has three $\$10$ bills and eight quarters, which add up to $\$30.00 + \$2.00 = \$32.00$.
She is short by $\$0.75$, which she needs to make up with her dimes.
Each dime is worth $\$0.10$, so she needs to divide $\$0.75$ by $\$0.10$ to find the number of dimes she needs.
Using long division or a calculator, she can find that $\$0.75 \div \$0.10 = 7.5$.
However, she cannot use half a dime, so she needs to round up to the next whole number.
Therefore, she needs at least 8 dimes to pay for the hoodie.