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 By: geniuskids (offline)  Friday, March 01 2013 @ 08:16 PM CST (Read 1838 times)
geniuskids

Pls help me with these Qs:-

Q10 June, Dylan and Luke had lunch together. June paid 1/4 of the total amount paid by Dylan and Luke. Dylan paid 1/2 of the total amount paid by June and Luke. If Luke paid \$16 more than Dylan, what was the cost of the lunch?

Ans-\$120

Q11.Jerry's daily allowance was \$1.40 more than Mabel's. Each of them spent \$2.10 daily and saved the rest. After some time, Jerry saved \$18.20 more than Mabel, who had saved \$9.10. How much was Jerry's daily allowance?

Ans-\$4.20

Thanks

Active Member

Registered: 11/12/11
Posts: 169

 By: vivilau1112 (offline)  Sunday, March 03 2013 @ 12:33 AM CST
vivilau1112

Hello! Here is the solution to qns 2:

\$18.20/\$1.4=13(No.of days)
\$18.20+\$9.10=27.30(Jerry's savings over 13 days)
1 day's savings ---> \$27.30/13= \$2.10
\$2.10+\$2.10(Spent)=\$4.20

Hope this helped!

Junior

Registered: 04/13/11
Posts: 16

 By: echeewh (offline)  Sunday, March 03 2013 @ 02:39 AM CST
echeewh

Hey there,

Following pls find my worked solution for Q10 :

Q10

*** - for alignment purpose

J : (D+L) Total
1 : 4 ****** 5 -- (1)

D : (J+L)
1 : 2 ****** 3 -- (2)

Applying <Unchanged Total> concept (as J,D,L are paying for the same lunch in the two different ratios / proportions as provided in question ), multiply (1) 3x, (2) 5x.

(1)x3:
J : (D+L) Total
3 : 12 **** 15 -- (3)

(2)x5:
D : (J+L)
5 : 10 **** 15 -- (4)

L = 15u - 3u - 5u = 7u

Hence,
J : D : L
3 : 5 : 7

Given Luke (L) paid \$16 more than Dylan (D), we have ...

L - D = 7u - 5u --> 16
2u --> 16
1u --> 8

Cost of lunch = 15u --> 15 × 8 = \$120

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

Trust this helps.

Do let me know again if there's further clarification.

Cheers,
Edward

Active Member

Registered: 04/21/11
Posts: 627

 By: geniuskids (offline)  Sunday, March 03 2013 @ 03:27 AM CST
geniuskids

Active Member

Registered: 11/12/11
Posts: 169

 By: echeewh (offline)  Sunday, March 03 2013 @ 09:46 PM CST
echeewh

Hi Geniuskids,

FYI ,

Q11 is based on <Unchanged Difference> / <Constant Difference> concept. In this case, the difference in daily allowance between J,M is the same as the difference in daily savings (since an equal amount was spent daily by J,M from the allowances).

Trust this helps.

Cheers,
Edward

Active Member

Registered: 04/21/11
Posts: 627

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