Jack, Ethan and George sold some pens. George sold 35% of the total number of pens sold by Ethan and Jack. Jack sold 20% of the total number of pens sold by Ethan and George. Ethan sold 34 more pens than George. Find the total number of pens sold by all the boys.
| Jack |
Ethan |
George |
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 pens is repeated. Make the total number of pens the same. LCM of 27 and 6 is 54.
Number of more pens that Ethan sold than George
= 31 u - 14 u
= 17 u
17 u = 34
1 u = 34 ÷ 17 = 2
Total number of pens sold
= 54 u
= 54 x 2
= 108
Answer(s): 108
