Question

Two types of stereos were on sale at a local car stereo dealer.

The J-Series model sold for $II8. The K-Series model sold for $92. During the sale, 32 stereos were sold. The receipts for these stereos totaled $3,230. How many of each type of stereo did the local dealer sell during this sale?

Answer 1

11 J- series and 21 K- series

Explanation:

create a pair of equations in 2 variables and solve simultaneously.

let x represent J- series and y the K- series , then

x + y = 32 ( subtract x from both sides )

y = 32 - x → (1)

118x + 92y = 3230 → (2)

substitute y = 32 - x into (2)

118x + 92(32 - x) = 3230

118x + 2944 - 92x = 3230

26x + 2944 = 3230 ( subtract 2944 from both sides )

26x = 286 ( divide both sides by 26 )

x = 11

substitute x = 11 into (1)

y = 32 - 11 = 21

11 of J- series and 21 of K- series models were sold