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~ :)

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