Liliana has $\$2.10$ in nickels and quarters. She has $12$ more nickels than quarters. How many **quarters** does she have?
A$3$
B$5$
C$15$
D$17$
Answer & Solution
Correct answer: B. $5$
Let $q =$ quarters; nickels $= q + 12$.
$0.25 q + 0.05 (q + 12) = 2.10 \Rightarrow 0.25 q + 0.05 q + 0.60 = 2.10 \Rightarrow 0.30 q = 1.50 \Rightarrow q = 5$.
Check: $5(0.25) + 17(0.05) = 1.25 + 0.85 = \$2.10$ ✓.
- Trap D ($17$) is the nickel count.
- Trap A ($3$) drops a step.
Related questions
GMAT DS questions should be paced at:The sum of 5 consecutive integers is always divisible by:If x² = 36, what can we conclude about x?A GMAT PS question asks: 'What is x if 3x + 5 = 23?' Options: 4, 5, 6, 7. The fastest apprOn a percentage question with abstract values, the recommended smart-number to assume is:Is 1,287 divisible by 3?In a GMAT DS question, what is the FIRST step?In GMAT DS, answer choice (A) is selected when: