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 By: lilypearl (offline)  Thursday, September 13 2012 @ 05:07 AM CDT (Read 1707 times)
lilypearl

Q 17 Wendy has 80 more stamps than Mary but 50 more stamps than Jean. Wendy gives 1/2 of her stamps to Mary. Then Mary gives 1/5 of her stamps to Jean. If Jean has 62 more stamps than Wendy, how many stamps does Mary have in the end?

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Registered: 03/18/09
Posts: 7

 By: tedsoh (offline)  Thursday, September 13 2012 @ 09:45 AM CDT
tedsoh

J = 10u + 30
W = 10u + 80
M = 10u

After W give 1/2 to M

J = 10u + 30
W = 10u + 80 (-5u)(-40)
M = 10u (+5u)(+40)

J = 10u + 30
W = 5u + 40
M = 15u + 40

After M give 1/5 to J

J = 10u + 30 (+3u)(+8)
W = 5u + 40
M = 15u + 40 (-3u)(-8)

J = 13u + 38
W = 5u + 40
M = 12u + 32

J have 62 more than W

Make then equal

J = 13u + 38
W = 5u + 40 + 62

13u + 38 = 5u + 40 + 62
13u - 5u = 40 + 62 - 38
8u = 64
1u = 8

Therfore M = (12 * 8) + 32
= 128

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Registered: 12/31/06
Posts: 8

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