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Sunday, October 22 2017 @ 05:42 PM CDT
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By: eqkt (offline)  Tuesday, August 13 2013 @ 02:16 AM CDT (Read 669 times)  
eqkt

Please help! Thanks.

1. Mdm Ang bought some highlighters, pens and mechanical pencils. 1/4 of them were highlighters. The number of pens she bought was 6 more than 1/2 the total number of all the items and the remaining were mechanical pencils. Each of the highlighters, pens and mechanical pencils cost $2.10, $4.05 and $1.60 respectively. She spent a total of $227.10 on the items. How many pens did she buy altogether?

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By: echeewh (offline)  Wednesday, August 14 2013 @ 10:25 AM CDT  
echeewh

Hi <eqkt>,

Following is my worked solution:

Q1.

H: (1/4)total
P: (1/2)total + 6 = (2/4)total + 6
M: (1/4)total - 6

Let (1/4)total be 1 unit (1u). So we have ...

H: 1u
P: 2u + 6
M: 1u - 6

Using <number x value> method, we have ...

(1u × 210) + [(2u + 6) × 405] + [(1u - 6) × 160] = 22710
210u + 810u + 2430 + 160u - 960 = 22710
1180u = 22710 - 2430 + 960
1180u --> 21240
1u --> 18

P = 2u + 6
2u + 6 --> (2 × 18) + 6
= 36 + 6
= 42

===========

Trust this helps.

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

Cheers,
Edward

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