Howard, Rael and Tim sold some pencils. Tim sold 20% of the total number of pencils sold by Rael and Howard. Howard sold 10% of the total number of pencils sold by Rael and Tim. Rael sold 114 more pencils than Tim. Find the total number of pencils sold by all the boys.
| Howard |
Rael |
Tim |
Total |
| 5x11 |
1x11 |
6x11 |
| 1x6 |
10x6 |
11x6 |
| 6 u |
49 u |
11 u |
66 u |
20% =
20100 =
15 10% =
10100 =
110 The total number of pencils is repeated. Make the total number of pencils the same. LCM of 6 and 11 is 66.
Number of more pencils that Rael sold than Tim
= 49 u - 11 u
= 38 u
38 u = 114
1 u = 114 ÷ 38 = 3
Total number of pencils sold
= 66 u
= 66 x 3
= 198
Answer(s): 198
