Asked by Sarah
A girl bought mangoes at 7.50 each. There were two types of mangoes: good ones and not so good ones. She sold the good ones at 7.90 each and the not-so-good ones at 7.70 each. If she earned 34, how many mangoes did she buy?
Answers
Answered by
Reiny
number of good ones --- x
number of not-goods --- y
cost = 7.5x + 7.5y
return = 7.90x + 7.70y
7.9x + 7.7y - 7.5x - 7.5y = 34
.4x + .2y = 34
2x + y = 170
y = 170-2x
There is no unique answer, unless you supply more information.
I could pick any value of x between 0 and 85, and have a solution
e.g. let x = 50, then y = 70
cost = 7.50(50+70) = 900
revenue = 7.9(50) + 7.7(70) = 934
for a profit of $34
let x = 10, then y = 150
cost = 7.5(160) = 1200
revenue = 7.9(10) + 7.7(150) = 1234
for a profit of $34
etc
number of not-goods --- y
cost = 7.5x + 7.5y
return = 7.90x + 7.70y
7.9x + 7.7y - 7.5x - 7.5y = 34
.4x + .2y = 34
2x + y = 170
y = 170-2x
There is no unique answer, unless you supply more information.
I could pick any value of x between 0 and 85, and have a solution
e.g. let x = 50, then y = 70
cost = 7.50(50+70) = 900
revenue = 7.9(50) + 7.7(70) = 934
for a profit of $34
let x = 10, then y = 150
cost = 7.5(160) = 1200
revenue = 7.9(10) + 7.7(150) = 1234
for a profit of $34
etc
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