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 By: achieve_goal (offline)  Friday, June 14 2013 @ 07:02 AM CDT (Read 488 times)
achieve_goal

Nancy saved 1/5 of the total amount of money saved by Joyce, Pauline and Irene. Joyce
saved 1/4 of the total amount saved by Nancy, Pauline and Irene. Pauline saved 2/3 of
the amount saved by Joyce and Irene. Irene saved \$72 more than Nancy.

a) How much did Nancy save?
b) How much did Pauline and Joyce save altogether?

Regular Member

Registered: 09/14/11
Posts: 102

 By: echeewh (offline)  Friday, June 14 2013 @ 01:29 PM CDT
echeewh

Hey there,

Following pls find my worked solution:

<Savings>

N : (J + P + I) Total -- (1)
1 : 5 *********** 6

J : (N + P + I) Total -- (2)
1 : 4 *********** 5

P : (J + I) Total -- (3)
2 : 3 ******** 5

I - J = \$72

As the savings of N, J, P and I remained constant in (1), (2), (3), we have ...

(1)x5:

N : (J + P + I) Total -- (4)
5 : 25 ********* 30

(2)x6:

J : (N + P + I) Total -- (5)
6 : 24 ********* 30

(3)x5:

P : (J + I) Total -- (3)
10 : 15 ******* 25

Hence,
N = 5u; J = 6u; P = 10u; I = 25u - P - J = 25u - 10u - 6u = 9u

Given that I - J = 72, we have ...

I - J = 72
9u - 6u = 72
3u --> 72
1u --> 24

(a)
N saved = 5u --> 5 × 24 = \$120

(b)
P + J saved = 10u + 6u = 16u
16u --> 16 × 24 = \$384

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

Trust this helps.

Do let me know again if this is different from your <Answerkey> or if there's further clarification.

Cheers,
Edward

Active Member

Registered: 04/21/11
Posts: 625

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