alleryStart learning →Adalberto has $2.25 in dimes and nickels, with nine more nickels than dimes. How many dimes does he have?
A12 dimes
B21 dimes
C9 dimes
D15 dimes
Answer & Solution
Correct answer: A. 12 dimes
1. Let d equal the number of dimes, so the number of nickels is d plus 9.
2. The total value equation is 0.10d plus 0.05(d plus 9) equals 2.25.
3. Distribute and combine like terms: 0.15d plus 0.45 equals 2.25.
4. Subtract 0.45 and divide by 0.15 to get d equals 12 dimes.
_Source: OpenStax Elementary Algebra (CC BY 4.0), Ch 3 "Math Models", section 3.3 Solve Mixture Applications_
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