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A coffee merchant has coffee beans that sell for $9 per pound and $12 per pound. The two types are to be mixed to create 100 lb of a mixture that will sell for $11.25 per pound. How much of each type of bean should be used in the mixture?
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We can make two equations from above given data.
9x + 12 y = 1125
x+y = 100
y = 100 - x
put the value of y in equation 1
we get
9x + 12(100-x) = 1125
9x + 1200 - 12 x = 1125
3x = 1200-1125
x= 75 / 3
x = 25
y = 100 - 25 = 75
$9 / pound of coffee beans weighs 25 pounds
$12 / pound of coffee beans weighs 75 pounds
9x + 12 y = 1125
x+y = 100
y = 100 - x
put the value of y in equation 1
we get
9x + 12(100-x) = 1125
9x + 1200 - 12 x = 1125
3x = 1200-1125
x= 75 / 3
x = 25
y = 100 - 25 = 75
$9 / pound of coffee beans weighs 25 pounds
$12 / pound of coffee beans weighs 75 pounds
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answered 2 years ago
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