Tim, Sam and Cody had a total of 596 stamps at first. After a week, the number of Tim's stamps became 3 times the number of stamps he had at first. The number of Sam's stamps decreased by 420. Cody 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 Cody have at first?
- What was the total number of stamps that the three boys had in the end?
|
Tim |
Sam |
Cody |
Total |
Before |
1 u |
3 u + 420 |
12 u |
|
Change |
x 3 |
- 420 |
x 14 |
|
After |
3 u |
3 u |
3 u |
9 u |
(a)
Total number of stamps at first
=
1 u + 3 u + 420 + 12 u
= 16 u + 420
16 u + 420 = 59616 u = 596 - 42016 u = 176
1 u = 176 ÷ 16 = 11 Number of stamps that Cody had at first
= 3 u ÷
14= 3 u x
41= 12 u = 12 x 11 = 132(b)Total number of stamps that the three boys had at the end = 9 u = 9 x 11 = 99 Answer(s): (a) 132; (b) 99