Elane has $\$7.00$ total in dimes and nickels. The number of dimes is **seven less than three times** the number of nickels. How many **nickels** does Elane have?
A$22$
B$30$
C$20$
D$53$
Answer & Solution
Correct answer: A. $22$
Let $n =$ nickels; dimes $= 3n - 7$.
$0.05 n + 0.10 (3n - 7) = 7.00 \Rightarrow 0.05 n + 0.30 n - 0.70 = 7.00 \Rightarrow 0.35 n = 7.70 \Rightarrow n = 22$.
Dimes $= 3(22) - 7 = 59$.
Check: $22(0.05) + 59(0.10) = 1.10 + 5.90 = \$7.00$ ✓.
- Trap D ($53$) takes 60 - 7 or similar mistake.
- Trap C and A miscompute.
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