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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?

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theonlycloudiblossom

Answer:

Hala will have 200 Pennies and 250 nickels.

Step-by-step 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


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