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 By: JessicaTan (offline)  Saturday, July 28 2012 @ 06:28 AM CDT (Read 780 times)
JessicaTan

Raj wants to buy a book but he only has 35% of the money. After his mother has given him \$18, he is still short of 1/4 of the money. What is the price of the book?

Thanks
Jessica Tan

Regular Member

Registered: 10/17/09
Posts: 82

 By: echeewh (offline)  Saturday, July 28 2012 @ 08:31 AM CDT
echeewh

Hey Jessica,

Following pls find my worked solution:

35% = 35/100 = (7/20)

This means the price of the book --> 20u, of which Raj has only 7u.

Next, Raj was given \$18, and is still short of of (1/4).

(1/4) x 20u = 5u.

Hence we have the following model:

** - buffer space for alignment purpose

B |-----------------------------------------|
**<----7u----><----\$18---><--5u--->
**<------------------20u---------------->

20u - 12u --> 18
8u --> 18
1u --> (18/8)

Price of Book = 20u --> 20 x (18/8) = \$45

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

Trust this helps.

Do let me know again if this does not match your answerkey or if you have any clarification.

Cheers,
Edward

Active Member

Registered: 04/21/11
Posts: 627

 By: JessicaTan (offline)  Saturday, July 28 2012 @ 11:19 PM CDT
JessicaTan

Quote by: echeewh

Hey Jessica,

Following pls find my worked solution:

35% = 35/100 = (7/20)

This means the price of the book --> 20u, of which Raj has only 7u.

Next, Raj was given \$18, and is still short of of (1/4).

(1/4) x 20u = 5u.

Hence we have the following model:

** - buffer space for alignment purpose

B |-----------------------------------------|
**<----7u----><----\$18---><--5u--->
**<------------------20u---------------->

20u - 12u --> 18
8u --> 18
1u --> (18/8)

Price of Book = 20u --> 20 x (18/8) = \$45

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

Trust this helps.

Do let me know again if this does not match your answerkey or if you have any clarification.

Cheers,
Edward

Hi Edward,