Sumanta has $\$4.20$ in nickels and dimes. She has twice as many nickels as dimes. How many **nickels** does she have?
A$28$
B$42$
C$14$
D$21$
Answer & Solution
Correct answer: B. $42$
Let $d =$ dimes; nickels $= 2d$.
Total value: $0.10 d + 0.05 (2d) = 4.20 \Rightarrow 0.10 d + 0.10 d = 4.20 \Rightarrow 0.20 d = 4.20 \Rightarrow d = 21$.
Nickels $= 2d = 42$.
Check: $21(0.10) + 42(0.05) = 2.10 + 2.10 = \$4.20$ ✓.
- Trap B ($21$) is the dime count, not nickel.
- Trap A is half the dimes.
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