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 By: ypchew (offline)  Monday, May 07 2012 @ 04:01 AM CDT (Read 2141 times)
ypchew

Hi

Can someone share with me how to solve the below questions?

Justin, Ken and Lynn donated some money during a charity drive. Justin donated 5/7 as much as the total donation made by Ken and Lynn. Ken donated 1/7 as much as the total donation made by Justin and Lynn. Ken donated \$232 more than Lynn.

(a) Express Justin's donation as a fraction of Lynn's donation.
(b) How much did Lynn donate?

Newbie

Registered: 12/31/06
Posts: 1

 By: echeewh (offline)  Tuesday, May 08 2012 @ 02:46 AM CDT
echeewh

hey there,

Further clarification is needed for this question with regards to (b). While working on the solution, stumbled upon some calculation that doesnt fit into the question.

Here is my worked solution, anyway.

J = 5u ; K + L = 7u --- (1)
K = 1u ; J + L = 7u --- (2)

In these 2 comparison statements, J, K, L contributed the same equal total donation in each of these comparisons.

Applying Unchanged Total concept, the respective totals ( in units ) are ...

J = 5u ; K + L = 7u ; Total = 12u --- (3)
K = 1u ; J + L = 7u ; Total = 8u --- (4)

Since the respective totals are same, find the common multiple (LCM) of 12 and 8, i.e. 24.

(3) x 2: J = 10u; K + L = 14u; Total = 24u
(4) x 3: K = 3u ; J + L = 21u ; Total = 24u

Hence J = 10u; K = 3u; L = 24u - 13u = 11u;

(a) J / L = 10 / 11

(b)* < Clarification needed here. Your question stated - Ken donated \$232 more than Lynn. However, based on my calculation, ( K - L ) results in -ve value. Took the liberty to change this to L - K instead, until further confirmation from your end. >

Given that L - K = \$232, we have ...
L - K = 11u - 3u --> 232
8u --> 232
1u --> 29

Therefore, L's donation = 11u --> 11 x 29 = \$319

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

Do let me know upon your confirmation ( and I shall amend the working above )

Cheers,
Edward

Active Member

Registered: 04/21/11
Posts: 627

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