Ian, Oscar and Julian had a total of 380 erasers at first. After a week, the number of Ian's erasers became 3 times the number of erasers he had at first. The number of Oscar's erasers decreased by 220. Julian 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 Julian have at first?
- What was the total number of erasers that the three boys had in the end?
|
Ian |
Oscar |
Julian |
Total |
Before |
1 u |
3 u + 220 |
6 u |
|
Change |
x 3 |
- 220 |
x 12 |
|
After |
3 u |
3 u |
3 u |
9 u |
(a)
Total number of erasers at first
=
1 u + 3 u + 220 + 6 u
= 10 u + 220
10 u + 220 = 38010 u = 380 - 22010 u = 160
1 u = 160 ÷ 10 = 16 Number of erasers that Julian had at first
= 3 u ÷
12= 3 u x
21= 6 u = 6 x 16 = 96(b)Total number of erasers that the three boys had at the end = 9 u = 9 x 16 = 144 Answer(s): (a) 96; (b) 144