| |
Distinction |
Merit |
Participation |
| Points awarded |
7 |
5 |
1 |
Participants in a quiz were awarded certificates based on their scores. A total of 393 points were awarded.
35 of the participants received the Distinction certificates.
25 of the remaining participants received the Merit certificates and the rest received the Participation certificates. How many participants received the Merit certificates?
| Distinction |
Merit |
Participation |
| 3x5 |
2x5 |
| |
2x2 |
3x2 |
| 15 u |
4 u |
6 u |
| |
Distinction |
Merit |
Participation |
| Number |
15 u |
4 u |
6 u |
| Value |
7 |
5 |
1 |
| Total value |
105 u |
20 u |
6 u |
The total number of participants who received Merit certificates and Participation certificates is the combined repeated identity. LCM of 5 and 2 is 10.
Total points awarded
= 105 u + 20 u + 6 u
= 131 u
131 u = 393
1 u = 393 ÷ 131 = 3
Number of participants who received Merit certificates
= 4 u
= 4 x 3
= 12
Answer(s): 12
