Question

The total value of the pennies and nickels was $14.50. Hala counted the coins and found there were 450 coins in all. How many of each type of coin did she have?

Answer 1

Hala will have 200 Pennies and 250 nickels.

Explanation:

Let x be = number of Pennies

Let y be = number of nickels

x + y = 450

-x -x

——————

y = -x + 450

0.01x + 0.05y = 14.50

0.01x + 0.05( -x + 450 ) = 14.50

0.01 - 0.05x + 22.5 = 14.50
-0.04x + 22.5 = 14.50
-22.5 -22.5

———————————-
-0.04x = -8

——— —

-0.04 -0.04

x = 200

200 + y = 450

-200 -200

————————

y = 250