Luis, Carl and John had a total of 597 stamps at first. After a week, the number of Luis's stamps became 4 times the number of stamps he had at first. The number of Carl's stamps decreased by 114. John had one-quarter as many stamps as he had at first. In the end, the three boys had the same number of stamps.
- How many stamps did John have at first?
- What was the total number of stamps that the three boys had in the end?
|
Luis |
Carl |
John |
Total |
Before |
1 u |
4 u + 114 |
16 u |
|
Change |
x 4 |
- 114 |
x 14 |
|
After |
4 u |
4 u |
4 u |
12 u |
(a)
Total number of stamps at first
=
1 u + 4 u + 114 + 16 u
= 21 u + 114
21 u + 114 = 59721 u = 597 - 11421 u = 483
1 u = 483 ÷ 21 = 23 Number of stamps that John had at first
= 4 u ÷
14= 4 u x
41= 16 u = 16 x 23 = 368(b)Total number of stamps that the three boys had at the end = 12 u = 12 x 23 = 276 Answer(s): (a) 368; (b) 276