Michaela has $2.05 in dimes and nickels, with seven more dimes than nickels. How many dimes does she have?
A9 dimes
B7 dimes
C16 dimes
D12 dimes
Answer & Solution
Correct answer: C. 16 dimes
1. Let n be the number of nickels, so the number of dimes is n + 7.
2. Write the total value equation: 0.05n plus 0.10(n + 7) equals 2.05.
3. Distribute and combine like terms: 0.15n plus 0.70 equals 2.05.
4. Subtract 0.70 and divide by 0.15: n equals 9 nickels.
5. The dimes number n + 7, which is 16; answering 9 stops at the nickels and misses the last step.
_Source: OpenStax Elementary Algebra (CC BY 4.0), Ch 3 "Math Models", section 3.3 Solve Mixture Applications_
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