Oliver, Peter and Glen sold some pencils. Glen sold 20% of the total number of pencils sold by Peter and Oliver. Oliver sold 30% of the total number of pencils sold by Peter and Glen. Peter sold 170 more pencils than Glen. Find the total number of pencils sold by all the boys.
| Oliver |
Peter |
Glen |
Total |
| 5x13 |
1x13 |
6x13 |
| 3x6 |
10x6 |
13x6 |
| 18 u |
47 u |
13 u |
78 u |
20% =
20100 =
15 30% =
30100 =
310 The total number of pencils is repeated. Make the total number of pencils the same. LCM of 6 and 13 is 78.
Number of more pencils that Peter sold than Glen
= 47 u - 13 u
= 34 u
34 u = 170
1 u = 170 ÷ 34 = 5
Total number of pencils sold
= 78 u
= 78 x 5
= 390
Answer(s): 390
