Mrs. Boyd has a desk full of quarters and nickels. If she has a total of 23 coins with a total face value of $\$ 4.55$, how many of the coins are nickels?
A) 6 nickels
B) 22 nickels
C) 8 nickels
D) 17 nickels

Question

Quizplus · Accepted Answer

Let x be the number of quarters and y be the number of nickels.We have the following system of equations:x + y = 230.25x + 0.05y = 4.55Solving for x, we get:x = 23 - ySubstituting this into the second equation, we get:0.25(23 - y) + 0.05y = 4.555.75 - 0.25y + 0.05y = 4.55-0.2y = -1.2y = 6Therefore, there are 6 nickels.

Mrs Boyd Has a Desk Full of Quarters and Nickels $4.55\$ 4.55$4.55

Mrs Boyd Has a Desk Full of Quarters and Nickels $\$ 4.55$