A glue company needs to make some glue that it can sell at $120 per barrel. It wants to use 150 barrels of glue worth $100 per barrel, along with some

FizeauV

FizeauV

Answered question

2021-05-28

A glue company needs to make some glue that it can sell at $120 per barrel. It wants to use 150 barrels of glue worth $100 per barrel, along with some glue worth $150 per barrel and glue worth $190 per barrel. It must use the same number of barrels of $150 and $190 glue. How much of the $150 and $190 glue will be needed? How many barrels of $120 glue will be produced?

Answer & Explanation

falhiblesw

falhiblesw

Skilled2021-05-29Added 97 answers

Let x-> number of barrels of glue worth $150 per barrel
y-> number of barrels of glue worth $190 per barrel
The glue must sell for $120 per barrel so: 100(150)+150x+190y=120(150+x+y)
It must use the same number of barrels of $150 and $190 glue: x=y
Substitute (2) to (1) and solve for x: 100(150)+150x+190x=120(150+x+x)
15000+340x=18000+240x
15000+100x=18000
100x=3000
x=30
which follows that: y=30
So, the company will need 30 barrels of the $150 and $190 glue. The number of barrels to be used is 150+x+y=150+30+30=210 barrels.

Jeffrey Jordon

Jeffrey Jordon

Expert2021-10-10Added 2605 answers

Answer is given below (on video)

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