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 By: shirley wee (offline)  Thursday, September 06 2012 @ 02:46 AM CDT (Read 768 times)
shirley wee

1) Malik and John had an equal amount of money. Each day Malik spent \$18 and John spent \$24. When John had \$15 left, Malik had 5 times as much money left as John. How much money did each of them have at first?

2) In December, Anne, Betty, Cathy and Dina saved a total of \$1267. In January, each of them had a equal amount of savings when Anne's savings was doubled, Betty's savings was increased by \$18 and Dina's savings was decreased by \$25. If Cathy's savings remained the same,
(a) what was Betty's savings in January?
(b) what was Dina's savings in December?

Chatty

Registered: 02/28/12
Posts: 68

 By: echeewh (offline)  Monday, October 22 2012 @ 06:13 AM CDT
echeewh

Hey Shirley,

Following pls find my worked solution:

Q1.

Ratio of money spent:
M : J
18 : 24
3 : 4

** <---- \$75 ----><------ 3u spent ----------->
M |----------------|----------|-----------|----------|
J |-------|---------|----------|-----------|----------|
** <\$15><----------- 4u spent --------------->

Apply <Gap & Difference> method, we have ...

4u - 3u --> 75 - 15
1u --> 60

M (at first) = 75 + 3u --> 75 + (3 × 60)
= 75 + 180 = \$255

========================

Q2.

Jan

A |-------------|
B |-------------|
C |-------------|
D |-------------|

Apply <work backwards> method, we have ..
A: halved
B: -18
C: same
D: +25

Dec

** <1u >
A |------|
B |-------|<18>
C |-------------|
D |-------------<-25->|

Given that A,B,C and D saVed \$1267, we have ...

1u + 2u - 18 + 2u + 2u + 25 --> 1267
7u --> 1267 + 18 - 25 = 1260
1u --> 180

(a)
B savings (Jan) = 2u --> 2 × 180 = \$360

(b)
D savings (Dec) = 2u + 25 --> 360 + 25 = \$385

===================

Trust the above help.

Do let me know again if this is different from your Answerkey or if theres further clarification.

Cheers,
Edward

Active Member

Registered: 04/21/11
Posts: 623

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