Paint costing $21 per gallon is to be mixed with 5 gallons of paint thinner costing $3 per gallon to make a paint that can be sold for $16 per gallon. Refer to the table below and compute how much of the new paint mixture will be produced. $p \cdot n = v$ Paint $\$ 21$ $x$ gal $\$ 21 x$ Thinner $\$ 3$ $5$ gal $\$ 3 ( 5 )$ Mixture $\$16 $ $( x + 5 )$ gal $\$ 16 ( x + 5 )$
A)21 gal
B)14 gal
C)19 gal
D)20 gal
E)18 gal

Question

Quizplus · Accepted Answer

The total cost of the paint and thinner before mixing is $21x + 3(5)$. The cost of the mixture is $16(x + 5)$. Setting these equal to each other gives $21x + 15 = 16x + 80$. Solving for $x$ gives $x = 13$. Therefore, the total mixture produced is $13 + 5 = 18$ gallons.

Paint Costing $21 Per Gallon Is to Be Mixed with 5