Tom, Ben and Pierre had a total of 473 cards at first. After a week, the number of Tom's cards became 4 times the number of cards he had at first. The number of Ben's cards decreased by 74. Pierre 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 Pierre have at first?
- What was the total number of cards that the three boys had in the end?
|
Tom |
Ben |
Pierre |
Total |
Before |
1 u |
4 u + 74 |
16 u |
|
Change |
x 4 |
- 74 |
x 14 |
|
After |
4 u |
4 u |
4 u |
12 u |
(a)
Total number of cards at first
=
1 u + 4 u + 74 + 16 u
= 21 u + 74
21 u + 74 = 47321 u = 473 - 7421 u = 399
1 u = 399 ÷ 21 = 19 Number of cards that Pierre had at first
= 4 u ÷
14= 4 u x
41= 16 u = 16 x 19 = 304(b)Total number of cards that the three boys had at the end = 12 u = 12 x 19 = 228 Answer(s): (a) 304; (b) 228