Ivan had 211 more cards than Julian at first. Then Ivan bought 59 more cards. In the end, Ivan has 3 times as many cards as Julian.
- How many cards did Julian have?
- Find the total number of cards Ivan and Julian had in the end?
| |
Ivan |
Julian |
Total |
| Before |
1 u + 211 |
1 u |
|
| Change |
+ 59 |
|
|
| After |
1 u + 211 + 59 |
1 u |
4 u |
(a)
Before
Number of cards that Ivan had = 1 u + 211
Number of cards that Julian had = 1 u
After
Number of cards that Ivan had = 1 u + 211 + 59 = 3 u
Number of cards that Julian had = 1 u
1 u + 211 + 59 = 3u
1 u + 270 = 3 u
3 u - 1 u = 270
2 u = 270
1 u = 270 ÷ 2 = 135
(a)
Number of cards that Julian had
= 1 u
= 135
(b)
Number of cards that Ivan and Julian had in the end
= 3 u + 1 u
= 4 u
= 4 x 135
= 540
Answer(s): (a) 135; (b) 540
