
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)

Newbie
Registered: 02/19/15 Posts: 8





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

Active Member
Registered: 04/21/11 Posts: 627





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



khaye 
Thanks a lot Edward for the big help

Newbie
Registered: 02/19/15 Posts: 8



