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Last Updated on May 10, 2023
GMAT OFFICIAL GUIDE PS
Solution:
We can let the number of 10-cent coins = d and the number of 25-cent coins = q. We are given that there are 16 total coins; thus, d + q = 16.
We are also given that the total face value is $2.35, thus:
0.1d + 0.25q = 2.35
10d + 25q = 235
Isolating d in our first equation, we have d = 16 – q. We can substitute 16 – q for d in our second equation and we have:
10(16 – q) + 25q = 235
160 – 10q + 25q = 235
15q = 75
q = 5
There are 5 coins with a face value of 25 cents.
Answer: B
