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By: khaye (offline)  Thursday, February 19 2015 @ 08:53 PM CST (Read 1260 times)  
khaye

Please anyone who help me to solve this problem..thanks a lot.
Q1.Mr. Lee had some sweets to give his students during Children's Day. If he gave each student 7 sweets,
he would be 4 sweets short.If he gave each student 5 sweets,he would have 20 sweets left.
a.) How many sweets did Mr. Lee have? ( Ans. 80 sweets)
b.) How many students did he have? ( Ans . 12 students)

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By: echeewh (offline)  Saturday, February 21 2015 @ 09:09 PM CST  
echeewh

Hey <khaye>

Following is my worked solution:

This can be done in the following 2 methods:

<model> method

Since number of students is the same in the 2 cases (of IF statements), we can let the number of students be 1 unit (u).

<1st IF>
Given each student received 7 sweets, a total number of 7u (7 x 1u) sweets would be given out. So the model becomes ...

<------------- 7u ------------->
|------------------------|<-4->|
<- initial number ->

<2nd IF>
Given each student received 5 sweets, a total number of 5u (5 x 1u) sweets would be given out. So the model becomes ...

<-- 5u --->
|------------|<- 20 ->|
<- initial number ->

Comparing both models above, we have ...

7u - 5u --> 4 + 20
2u --> 24
1u --> 24 ÷ 2 = 12

(a)
Initial number of sweets = 7u - 4 {from 1st IF}
7u - 4 --> (7 × 12) - 4
= 84 - 4 = 80

(b)
1u --> 12

<Method 2)
<Common Factors / Multiples>

<1st IF>
7 - 4 = 3
3 10 17 24 31 38 45 52 59 66 73 80 87

<2nd IF>
5 + 20 = 25
25 30 35 40 45 50 55 60 65 70 75 80 85

(a)
Mr Lee had 80 sweets

(b)
He had 12 students

=======

Trust the above helps.

Do let me know again if there are further clarifications.

Cheers,
Edward

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By: khaye (offline)  Saturday, February 21 2015 @ 10:07 PM CST  
khaye

Thanks a lot Edward for the big help

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