
By: shirley wee (offline) Thursday, September 06 2012 @ 02:46 AM CDT (Read 808 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: 627



