Owen, Oliver and Ethan sold some notebooks. Ethan sold 20% of the total number of notebooks sold by Oliver and Owen. Owen sold 30% of the total number of notebooks sold by Oliver and Ethan. Oliver sold 102 more notebooks than Ethan. Find the total number of notebooks sold by all the boys.
| Owen |
Oliver |
Ethan |
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 notebooks is repeated. Make the total number of notebooks the same. LCM of 6 and 13 is 78.
Number of more notebooks that Oliver sold than Ethan
= 47 u - 13 u
= 34 u
34 u = 102
1 u = 102 ÷ 34 = 3
Total number of notebooks sold
= 78 u
= 78 x 3
= 234
Answer(s): 234
