Question

Tire Village sells All Season tires for $237 each and Weather-Ready tires for $127 each. If 320 tires were sold last month and the store made $52,080 on these two types of tires, how many of each type did they sell last month?

Answer 1

Tire Village sold 104 All Season tires and 216 Weather-Ready tires last month.

Step-by-step explanation:

To find out how many of each type of tire Tire Village sold last month, we can set up a system of equations. Let's say x represents the number of All Season tires sold and y represents the number of Weather-Ready tires sold. The total number of tires sold is 320, so we can write the equation x + y = 320. The total revenue from these sales is $52,080, so we can write the equation 237x + 127y = 52080. Now we can solve these equations using the method of substitution:

1. Solve the first equation for x: x = 320 - y
2. Substitute this value of x into the second equation: 237(320 - y) + 127y = 52080
3. Simplify and solve for y: 75840 - 237y + 127y = 52080, 75840 - 110y = 52080, -110y = -23760, y = 216
4. Substitute this value of y into the first equation to find x: x = 320 - 216, x = 104

Therefore, Tire Village sold 104 All Season tires and 216 Weather-Ready tires last month.