Nick, Cole and Ben had a total of 425 cards at first. After a week, the number of Nick's cards became 4 times the number of cards he had at first. The number of Cole's cards decreased by 191. Ben had half as many cards as he had at first. In the end, the three boys had the same number of cards.
- How many cards did Ben have at first?
- What was the total number of cards that the three boys had in the end?
|
Nick |
Cole |
Ben |
Total |
Before |
1 u |
4 u + 191 |
8 u |
|
Change |
x 4 |
- 191 |
x 12 |
|
After |
4 u |
4 u |
4 u |
12 u |
(a)
Total number of cards at first
=
1 u + 4 u + 191 + 8 u
= 13 u + 191
13 u + 191 = 42513 u = 425 - 19113 u = 234
1 u = 234 ÷ 13 = 18 Number of cards that Ben had at first
= 4 u ÷
12= 4 u x
21= 8 u = 8 x 18 = 144(b)Total number of cards that the three boys had at the end = 12 u = 12 x 18 = 216 Answer(s): (a) 144; (b) 216