| |
Distinction |
Merit |
Participation |
| Points awarded |
9 |
5 |
1 |
Students in a quiz were awarded certificates based on their scores. A total of 438 points were awarded.
35 of the students received the Distinction certificates.
27 of the remaining students received the Merit certificates and the rest received the Participation certificates. How many students received the Merit certificates?
| Distinction |
Merit |
Participation |
| 3x7 |
2x7 |
| |
2x2 |
5x2 |
| 21 u |
4 u |
10 u |
| |
Distinction |
Merit |
Participation |
| Number |
21 u |
4 u |
10 u |
| Value |
9 |
5 |
1 |
| Total value |
189 u |
20 u |
10 u |
The total number of students who received Merit certificates and Participation certificates is the combined repeated identity. LCM of 7 and 2 is 14.
Total points awarded
= 189 u + 20 u + 10 u
= 219 u
219 u = 438
1 u = 438 ÷ 219 = 2
Number of students who received Merit certificates
= 4 u
= 4 x 2
= 8
Answer(s): 8
