SOLUTION: Jerome blends Brand A of coffee that sells for $9.50 a pound with Brand B of coffee that sells for $12.00 a pound. If the 45 pounds of blend sells for $10.50 a pound, how many poun

Question 234780: Jerome blends Brand A of coffee that sells for $9.50 a pound with Brand B of coffee that sells for $12.00 a pound. If the 45 pounds of blend sells for $10.50 a pound, how many pounds of each type of coffee did Jerome use?
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
12x+9.50(45-x)=10.50*45
12x+427.5-9.5x=472.5
2.5x=472.5-427.5
2.5x=45
x=45/2.5
x=18 pounds of the $12 coffee is used.
45-18=27 pounds of the $9.50 coffee is used.
Proof:
12*18+9.5*27=10.50*45
216+256.5=472.5
472.5=472.5

RELATED QUESTIONS
A coffee shop owner blends gourmet coffee brand with a cheaper brand. The gourmet coffee... (answered by mananth)

A store owner has two different blends of coffee. Brand A sells for $10.50 a pound and... (answered by stanbon)

A coffee shop blends a coffee that sells for $12 per pound with a coffee that sells for... (answered by lwsshak3)

A coffee shop sells two brands of coffee. The first brand costs 2.5 dollars per pound,... (answered by josgarithmetic)

I can not figure out this math problem and need help. The question says, "Bill wnats 30... (answered by ptaylor)

A purveyor of gourmet foods blends coffee for sale. One pound of brand A makes, on the... (answered by Boreal)

A store owner has two different blends of coffee. Brand A sells for $10.50/lb and Brand B (answered by josmiceli)

a coffee shop decides to blend a coffee that sells for 12$ per pound with a coffee that... (answered by lwsshak3)

Find the selling price per pound of a coffee mixture made from 8 pounds of coffee that... (answered by stanbon)