alleryStart learning →Danny has $2.14 in pennies and nickels, and the number of nickels is two more than ten times the number of pennies. How many nickels does he have?
A4 nickels
B10 nickels
C42 nickels
D38 nickels
Answer & Solution
Correct answer: C. 42 nickels
1. Let p equal the number of pennies, so the number of nickels is 10p plus 2.
2. The total value equation is 0.01p plus 0.05(10p plus 2) equals 2.14.
3. Distribute and combine like terms: 0.51p plus 0.10 equals 2.14.
4. Subtract 0.10 and divide by 0.51 to get p equals 4 pennies.
5. Substitute back to find the nickels: 10 times 4 plus 2 equals 42 nickels.
_Source: OpenStax Elementary Algebra (CC BY 4.0), Ch 3 "Math Models", section 3.3 Solve Mixture Applications_
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