Solve the problem.
-A sum of money amounting to $\$ 3.45$ consists of dimes and quarters. If there are 18 coins in all, how many are quarters?
A) 16 quarters
B) 7 quarters
C) 11 quarters
D) 9 quarters

Question

Quizplus · Accepted Answer

Let x be the number of dimes and y be the number of quarters. We can set up a system of two equations to represent the problem:
x + y = 18 (since there are a total of 18 coins)
0.10x + 0.25y = 3.45 (since the total value of the coins is $3.45)
Simplifying the second equation by multiplying both sides by 100, we get:
10x + 25y = 345
Dividing both sides by 5, we get:
2x + 5y = 69
We can solve this system by substitution or elimination, but it's easier to use elimination. Multiplying the first equation by 2, we get:
2x + 2y = 36
Subtracting this from the second equation, we get:
3y = 33
y = 11
So there are 11 quarters.

Solve the Problem $3.45\$ 3.45$3.45 Consists of Dimes and Quarters

Solve the Problem $\$ 3.45$ Consists of Dimes and Quarters