Question 417331: A donation box contains 49 coins consisting of nickels, dimes, and quarters. The number of quarters is two more than twice the number of dimes. The total value of the coins is $3.30. Find the number of nickles, dimes, and quarters.
Answer by ewatrrr(24785)   (Show Source):
You can put this solution on YOUR website!
Hi
49 coins. The number of quarters is two more than twice the number of dimes
Let x , (2x+2), [49 -(3x+2)] represent the number of dimes, quarters and nickels
Question states***CENTS makes sense
10x + 25(2x+2) + 5[49-(3x+2)] = 330
Solving for x
10x + 50x+ 50 + 245 -15x - 10 = 330
45x = 45
x = 1, the number of dimes, 4 Quarters and 44 Nickels
CHECKING our Answer***
10*1 + 25*4 + 5*44 = 110 + 220 = 330 or $3.30
|
|
|
