Rael, Michael and Bryan had a total of 350 erasers at first. After a week, the number of Rael's erasers became 4 times the number of erasers he had at first. The number of Michael's erasers decreased by 77. Bryan had one-quarter as many erasers as he had at first. In the end, the three boys had the same number of erasers.
- How many erasers did Bryan have at first?
- What was the total number of erasers that the three boys had in the end?
|
Rael |
Michael |
Bryan |
Total |
Before |
1 u |
4 u + 77 |
16 u |
|
Change |
x 4 |
- 77 |
x 14 |
|
After |
4 u |
4 u |
4 u |
12 u |
(a)
Total number of erasers at first
=
1 u + 4 u + 77 + 16 u
= 21 u + 77
21 u + 77 = 35021 u = 350 - 7721 u = 273
1 u = 273 ÷ 21 = 13 Number of erasers that Bryan had at first
= 4 u ÷
14= 4 u x
41= 16 u = 16 x 13 = 208(b)Total number of erasers that the three boys had at the end = 12 u = 12 x 13 = 156 Answer(s): (a) 208; (b) 156