megnik0714
10.01.2020 •
Mathematics
For the fundraiser, will sole 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?
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Ответ:
Fundraiser sold 150 caramel candy bars and 75 almond candy bars
Solution:
Let "c" be the number of caramel candy bars sold
Let "a" be the number of almond candy bars sold
Cost of 1 caramel candy bar = $ 0.75
Cost of 1 almond candy bar = $ 1
He sold 225 candy bars. Therefore, we can frame a equation as;
number of caramel candy bars sold + number of almond candy bars sold = 225
c + a = 225 ----- eqn 1
He earned a total of $ 187.50. Therefore, we can frame a equation as;
number of caramel candy bars sold x Cost of 1 caramel candy bar + number of almond candy bars sold x Cost of 1 almond candy bar = 225
0.75c + a = 187.5 --------- eqn 2
Let us solve eqn 1 and eqn 2
From eqn 1,
c = 225 - a ------ eqn 3
Substitute eqn 3 in eqn 2
0.75(225 - a) + a = 187.5
168.75 - 0.75a + a = 187.5
0.25a = 18.75
a = 75
Substitute a = 75 in eqn 3
c = 225 - 75
c = 150
Thus he sold 150 caramel candy bars and 75 almond candy bars
Ответ:
1/3 x 1/3 x 1/3 to get final answer of 1/27 or 4% of getting them all right.