Ben, Brandon and Pierre sold some pencils. Pierre sold 20% of the total number of pencils sold by Brandon and Ben. Ben sold 30% of the total number of pencils sold by Brandon and Pierre. Ben sold 174 less pencils than Brandon. Find the total number of pencils sold by all the boys.
| Ben |
Brandon |
Pierre |
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 less pencils that Ben sold than Brandon
= 47 u - 18 u
= 29 u
29 u = 174
1 u = 174 ÷ 29 = 6
Total number of pencils sold
= 78 u
= 78 x 6
= 468
Answer(s): 468
