Shelly has $175 to shop for jeans and sweaters, Each pair of jeans costs $25, each sweater costs $20, and she buys 8 items. Determine the number of pairs of jeans and sweaters Shelly bought.
algebra - smith Descomb, Wednesday, March 30, 2011 at 9:47pm
Solution: Make 2 equations out of the problem
ex. X for jeans y for sweater
175= 25x=20y the price of the all the jeans + the price of all the sweater= 175 dollars
8=x-y the number of jeans and sweater = the number of item
get X by itself and use substitution
8-y=x now substitute it in the first problem
175=200-25Y+20Y now combine like term
175=200-5Y get y by itself first - 200 on both side the divide -5 on both to get y by itself and your answer is the number of sweater
Now plug the 5 in the second equation 8=y+x now plug in 5 for Y
8=5+x -5 on both side to find the number of jeans
Hope u get this !!!!