Bobby, Sam and Glen had a total of 451 cards at first. After a week, the number of Bobby's cards became 5 times the number of cards he had at first. The number of Sam's cards decreased by 87. Glen had one-quarter as many cards as he had at first. In the end, the three boys had the same number of cards.
- How many cards did Glen have at first?
- What was the total number of cards that the three boys had in the end?
|
Bobby |
Sam |
Glen |
Total |
Before |
1 u |
5 u + 87 |
20 u |
|
Change |
x 5 |
- 87 |
x 14 |
|
After |
5 u |
5 u |
5 u |
15 u |
(a)
Total number of cards at first
=
1 u + 5 u + 87 + 20 u
= 26 u + 87
26 u + 87 = 45126 u = 451 - 8726 u = 364
1 u = 364 ÷ 26 = 14 Number of cards that Glen had at first
= 5 u ÷
14= 5 u x
41= 20 u = 20 x 14 = 280(b)Total number of cards that the three boys had at the end = 15 u = 15 x 14 = 210 Answer(s): (a) 280; (b) 210