Tommy had 346 more cards than Owen at first. Then Tommy bought 44 more cards. In the end, Tommy has 3 times as many cards as Owen.
- How many cards did Owen have?
- Find the total number of cards Tommy and Owen had in the end?
| |
Tommy |
Owen |
Total |
| Before |
1 u + 346 |
1 u |
|
| Change |
+ 44 |
|
|
| After |
1 u + 346 + 44 |
1 u |
4 u |
(a)
Before
Number of cards that Tommy had = 1 u + 346
Number of cards that Owen had = 1 u
After
Number of cards that Tommy had = 1 u + 346 + 44 = 3 u
Number of cards that Owen had = 1 u
1 u + 346 + 44 = 3u
1 u + 390 = 3 u
3 u - 1 u = 390
2 u = 390
1 u = 390 ÷ 2 = 195
(a)
Number of cards that Owen had
= 1 u
= 195
(b)
Number of cards that Tommy and Owen had in the end
= 3 u + 1 u
= 4 u
= 4 x 195
= 780
Answer(s): (a) 195; (b) 780
