Julian, John and Rael had a total of 547 erasers at first. After a week, the number of Julian's erasers became 3 times the number of erasers he had at first. The number of John's erasers decreased by 377. Rael 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 Rael have at first?
- What was the total number of erasers that the three boys had in the end?
|
Julian |
John |
Rael |
Total |
Before |
1 u |
3 u + 377 |
6 u |
|
Change |
x 3 |
- 377 |
x 12 |
|
After |
3 u |
3 u |
3 u |
9 u |
(a)
Total number of erasers at first
=
1 u + 3 u + 377 + 6 u
= 10 u + 377
10 u + 377 = 54710 u = 547 - 37710 u = 170
1 u = 170 ÷ 10 = 17 Number of erasers that Rael had at first
= 3 u ÷
12= 3 u x
21= 6 u = 6 x 17 = 102(b)Total number of erasers that the three boys had at the end = 9 u = 9 x 17 = 153 Answer(s): (a) 102; (b) 153