Question

A tire dealer sells all-season tires for $68 each and all-terrain tires for $125 each. In one day, the sales both tires totaled $3,926. If 14 all-terrain tires were sold, write and solve a linear equation to find the number of all-season tires sold.

Answer 1

Start by making variables to represent each tire
S=all-season tires
T=all-terrain tires
Create equations based on what was given in the question
68s+125t=3926 (the price for each tire multiplied by the number of tires equals the overall sales price)
T=14 (14 all-terrain tires were sold)
Sub 14 into the first equation for t in order to solve for s
68s+125(14)=3926
68s+1750=3926
68s=3926-1750
68s=2176
S=32
I hope this helps!