lheiannie07 wrote:Cathy has equal numbers of nickels and quarters worth a total of $7.50. How many coins does she have?
(nickel = 5 cents, quarter = 25 cents)
(A) 20
(B) 25
(C) 50
(D) 62
(E) 70
Since Cathy has an equal number of nickels and quarters:
Let x = the number of each coin.
Since each nickel is worth 5 cents, the total value of the x nickels = 5x.
Since each quarter is worth 25 cents, the total value of the x quarters = 25x.
Since the total amount of money is $7.50 -- the equivalent of 750 cents -- we get:
5x + 25x = 750
30x = 750
3x = 75
x = 25.
Since Cathy has 25 nickels and 25 quarters, the total number of coins = 25 + 25 = 50.
The correct answer is
C.
Private tutor exclusively for the GMAT and GRE, with over 20 years of experience.
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at
[email protected].
Student Review #1
Student Review #2
Student Review #3
