SOLUTION: For the fundraiser, Will sold 225 candy bars. He earns $1 for each almond candy bar he sells and $0.75 for each caramel candy bar he sells. If he earned a total of $187.50, how man

Question 539590: For the fundraiser, Will sold 225 candy bars. He earns $1 for each almond candy bar he sells and $0.75 for each caramel candy bar he sells. If he earned a total of $187.50, how many of each type of candy bar did he sell for the fundraiser.
Thanks you so much!!!
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Will sold 225 candy bars.
He earns $1 for each almond candy bar he sells and $0.75 for each caramel candy bar he sells.
If he earned a total of $187.50, how many of each type of candy bar did he sell for the fundraiser.
:
Let a = no. of almond candy bars
Let c = no. of caramel
:
"Will sold 225 candy bars."
a + c = 225
:
"He earns $1 for each almond candy bar he sells and $0.75 for each caramel candy bar he sells. If he earned a total of $187.50,"
1a + .75c = 187.50
:
We can use elimination here, easily
Subtract the above equation from the 1st equation
a + c = 225
a +.75c = 187.5
------------------subtraction eliminates a, find c
.25c = 37.5
c =
c = 150 caramel bars
:
Find a using the 1st equation
a + 150 = 225
a = 225 - 150
a = 75 almond bars
:
:
Confirm this in the value equation
1(75) + .75(150) =
75 + 112.5 = 187.5
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