Owen, Eric and Gabriel sold some pencils. Gabriel sold 35% of the total number of pencils sold by Eric and Owen. Owen sold 20% of the total number of pencils sold by Eric and Gabriel. Owen sold 198 less pencils than Eric. Find the total number of pencils sold by all the boys.
Owen |
Eric |
Gabriel |
Total |
20x2 |
7x2 |
27x2 |
1x9 |
5x9 |
6x9 |
9 u |
31 u |
14 u |
54 u |
35% =
35100 =
720 20% =
20100 =
15 The total number of pencils is repeated. Make the total number of pencils the same. LCM of 27 and 6 is 54.
Number of less pencils that Owen sold than Eric
= 31 u - 9 u
= 22 u
22 u = 198
1 u = 198 ÷ 22 = 9
Total number of pencils sold
= 54 u
= 54 x 9
= 486
Answer(s): 486