Luis, Ethan and Billy had a total of 596 erasers at first. After a week, the number of Luis's erasers became 5 times the number of erasers he had at first. The number of Ethan's erasers decreased by 212. Billy 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 Billy have at first?
- What was the total number of erasers that the three boys had in the end?
|
Luis |
Ethan |
Billy |
Total |
Before |
1 u |
5 u + 212 |
10 u |
|
Change |
x 5 |
- 212 |
x 12 |
|
After |
5 u |
5 u |
5 u |
15 u |
(a)
Total number of erasers at first
=
1 u + 5 u + 212 + 10 u
= 16 u + 212
16 u + 212 = 59616 u = 596 - 21216 u = 384
1 u = 384 ÷ 16 = 24 Number of erasers that Billy had at first
= 5 u ÷
12= 5 u x
21= 10 u = 10 x 24 = 240(b)Total number of erasers that the three boys had at the end = 15 u = 15 x 24 = 360 Answer(s): (a) 240; (b) 360