Warren, Andy and Tom had a total of 468 erasers at first. After a week, the number of Warren's erasers became 5 times the number of erasers he had at first. The number of Andy's erasers decreased by 292. Tom 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 Tom have at first?
- What was the total number of erasers that the three boys had in the end?
|
Warren |
Andy |
Tom |
Total |
Before |
1 u |
5 u + 292 |
10 u |
|
Change |
x 5 |
- 292 |
x 12 |
|
After |
5 u |
5 u |
5 u |
15 u |
(a)
Total number of erasers at first
=
1 u + 5 u + 292 + 10 u
= 16 u + 292
16 u + 292 = 46816 u = 468 - 29216 u = 176
1 u = 176 ÷ 16 = 11 Number of erasers that Tom had at first
= 5 u ÷
12= 5 u x
21= 10 u = 10 x 11 = 110(b)Total number of erasers that the three boys had at the end = 15 u = 15 x 11 = 165 Answer(s): (a) 110; (b) 165