
By: khaye (offline) Wednesday, May 06 2015 @ 03:09 AM CDT (Read 1974 times)



khaye 
Please help me to answer thanks
1.Carmen and Ericia had a total of $230. 2/5 of Carmen's money was $40 more than 1/4 of Ericia's money.How much money had Ericia?
2.Bob and Carl saved a total of $1416. 2/3 of Bob's savings was $60 more than 1/5 of Carl's savings.How much money did Bob save?

Newbie
Registered: 02/19/15 Posts: 8





By: echeewh (offline) Wednesday, May 06 2015 @ 11:47 AM CDT



echeewh 
Hey <khaye>,
Following are my worked solutions:
Both questions are very similar and use <Simultaneous> method to solve.
Q1.
C + E = 230  (1)
(2/5)C = (1/4)E + 40
(2/5)C  (1/4)E = 40  (2)
Common multiple of (5, 4) is 20:
(2)x20:
8C  5E = 800  (3)
Eliminating C:
(1)x8:
8C + 8E = 1840  (4)
Comparing (3), (4):
(4)(3):
8E  ( 5E) = 1840  800
8E + 5E = 1040
13E = 1040
E = 80
Ericia had $80
======
Q2.
B + C = 1416  (1)
(2/3)B = (1/5)C + 60
(2/3)B  (1/5)C = 60  (2)
Common multiple of (3, 5) is 15:
(2)X15:
10B  3C = 900  (3)
Eliminating C:
(1)x3:
3B + 3C = 4248  (4)
Comparing (3), (4):
(3)+(4):
10B + 3B = 900 + 4248
13B = 5148
B = 396
Bob saved $396
=======
Trust the above help.
Do let me know again if these are different from your <Answerkey> or if there's further clarification.
Cheers,
Edward

Active Member
Registered: 04/21/11 Posts: 627





By: khaye (offline) Friday, May 08 2015 @ 12:41 AM CDT



khaye 
Thanks a lot Edward for the Big help..

Newbie
Registered: 02/19/15 Posts: 8





By: echeewh (offline) Sunday, June 07 2015 @ 01:08 AM CDT



echeewh 
Hey <khaye> et al,
Apart from using <Simultaneous> method to solve these two problems, the <model> method can also be used as shown:
Q1.
***  for alignment purpose
C <40> > (2/5)C
E  ***** > (1/4)E
Apply <work backwards>
Split the equal portion of C, E into 2 units (u).
C <40> > (2/5)C
E  ***** > (1/4)E
<Before>
(2/5)C = 2u + 40
(1/5)C = 1u + 20
(5/5)C = 5u + 100
(1/4)E = 2u
(4/4)E = 8u
Given Carmen (C) and Ericia (E) had a total of $230, we have ...
13u + 100 > 230
13u > 230  100 = 130
1u > 10
E (before) = 8u > 8 × 10 = $80
======
Trust this helps.
Do let me know again if there's further clarification.
Cheers,
Edward

Active Member
Registered: 04/21/11 Posts: 627



