Posted by **nick** on Saturday, October 22, 2011 at 2:17am.

john bought a bag, pai oh shoes ad a watch for $160 altogethe. the bag cost $15 more than the pair of shoes and the watch cost $20 less than the bag. What was the cost of the bag?

- math -
**Jai**, Saturday, October 22, 2011 at 2:25am
let x = cost of bag

let y = cost of shoes

let 160 - (x+y) = cost of watch

set up equations:

(1) x = y + 15

(2) 160 - (x+y) = x - 20

solve simultaneously. we can either use elimination or substitution, but for this problem let's just use substitution. we substitute equation (1) to equation (2):

160 - (y + 15 + y) = y + 15 - 20

160 - 2y - 15 = y - 5

-2y - y = -160 + 15 - 5

-3y = -150

y = $ 50 (cost of shoes)

x = y + 15 = $ 65 (cost of bag)

160 - (x+y) = $ 45 (cost of watch)

hope this helps~ :)

## Answer this Question

## Related Questions

- math - Ryan reaches into his gym bag for a pair of running shoes. If there are ...
- math 12 - Ryan reaches into his gym bag for a pair of running shoes. If there ...
- Math - Mr. Logan purchased $390 in clothing (excluding sales tax). He bought 5 ...
- Math - Mrs. Daniel pays $324 for a handbag and 3 pairs of shoes. The handbag ...
- alegebra - if i bought 4 pairs of shoes for $325.50 and later bought another ...
- math - a 50 pound bag of glossy coat horse feed cost $23.50. A 25 pound bag cost...
- math - jeff bought 6 pairs of shoes and 4 jerseys for 560. Jersies cost 1/4 ...
- Math - Grade 5 - A shop sells candies by weight. Monisha bought 2 full bags of ...
- math - A bag got mix up 6 pairs of shoes – 2 red, 2 blue, and 2 purple. Picking ...
- Math - A shoe company will make a new type of running shoe. The fixed cost for ...