how many shirts and pants did she buy?

Question

Kristian purchased several shirts that each cost $12 and the same number of pants that each cost $25 and a tie of $8.60. If the tax was 13.10 and the total bill was $169.70

Answer 1

First you need to subtract the taxes and the cost of the tie. $169.70-$13.10 (taxes)=$156.60. Then $156.60-$8.60 (for the tie)=$148.

Now you know that Kristian spent a total of $148 on shirts and pants. Since the same number of shirts and pants were bought, use x as the variable for each one. Write an equation that reads 12x+25x=$148. Combine like terms to get 37x=$148. Divide both sides by 37, and you get 4. That means Kristian bought 4 shirts and 4 pairs of pants. To check this, use 4 as x in the equation.

 

$12(4)+$25(4)=$148, so 48+100=$148. That works, so the answer is 4 shirts and 4 pairs of pants.