SOLUTION: three pairs of jeans and six shirts cost $195. the cost of four pairs of jeans and five shirts is $215. what is the price of one pair of jeans and one shirt?

Question 697692: three pairs of jeans and six shirts cost $195. the cost of four pairs of jeans and five shirts is $215. what is the price of one pair of jeans and one shirt?
Answer by sofiyac(983) (Show Source): You can put this solution on YOUR website!
three pairs of jeans and six shirts cost $195. the cost of four pairs of jeans and five shirts is $215. what is the price of one pair of jeans and one shirt?
let one pair of jeans cost x and one shirt cost y, then
3x+6y=195
4x+5y=215
next we multiply first equation by -4 and second one by 3 and we get
-12x-24y=-780
12x+15y=645 now add these questions and your x terms will cancel out (add to 0)
-----------
-9y=-135 divide both sides by -9
y=15 so one shirt is $15 now plug that into either of the original equations and solve for x, i'll use the first equation
3x+6*15=195
3x+90=195 subtract 90 from each side
3x=105 divide each side by 3
x=35 so pair of jeans is $35
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