# QR: Math Destroyer, Test 9, Qsn 29

#### ammarm

10+ Year Member
The question is as follows:
High gloss paint costs \$15 more per gallon than Flat finish paint. If the cost of one can of each is 250% of the cost of a gallon of Flat finish paint, how much is the cost of a gallon of Flat finish paint?

The eqns i was able to come up with:
H= high gloss paint cost
F= finish gloss paint cost

H=15+F
250/100F
But there is also an eqn in the soln at the back: F+F+15=250/100F
I dont understand how they found this last relationship? I would appreciate some feedback. thanks

#### ci214105

The question is as follows:
High gloss paint costs \$15 more per gallon than Flat finish paint. If the cost of one can of each is 250% of the cost of a gallon of Flat finish paint, how much is the cost of a gallon of Flat finish paint?

The eqns i was able to come up with:
H= high gloss paint cost
F= finish gloss paint cost

H=15+F
250/100F
But there is also an eqn in the soln at the back: F+F+15=250/100F
I dont understand how they found this last relationship? I would appreciate some feedback. thanks

You have to set up you problem in 2 equations.

1. H= F + 15

2. H + F = 250%/100F

3. Use equation 1 and distribute in equation 2. ,

So now you have (F +15) + F = 250/100F