Ben, Archie and Tommy had a total of 352 erasers at first. After a week, the number of Ben's erasers became 4 times the number of erasers he had at first. The number of Archie's erasers decreased by 66. Tommy had half as many erasers as he had at first. In the end, the three boys had the same number of erasers.
- How many erasers did Tommy have at first?
- What was the total number of erasers that the three boys had in the end?
|
Ben |
Archie |
Tommy |
Total |
Before |
1 u |
4 u + 66 |
8 u |
|
Change |
x 4 |
- 66 |
x 12 |
|
After |
4 u |
4 u |
4 u |
12 u |
(a)
Total number of erasers at first
=
1 u + 4 u + 66 + 8 u
= 13 u + 66
13 u + 66 = 35213 u = 352 - 6613 u = 286
1 u = 286 ÷ 13 = 22 Number of erasers that Tommy had at first
= 4 u ÷
12= 4 u x
21= 8 u = 8 x 22 = 176(b)Total number of erasers that the three boys had at the end = 12 u = 12 x 22 = 264 Answer(s): (a) 176; (b) 264