Vincent, Rael and Zeph had 152 cards. After Vincent used 11 cards and Rael used
25 of her cards, Vincent had thrice as many cards left as Rael. Zeph bought another 19 cards, he had twice the number of cards Rael had left. How many cards did Zeph have at first?
| |
Vincent |
Rael |
Zeph |
Total |
| Before |
9 u + 11 |
5 u |
6 u - 19 |
152 |
| Change |
- 11 |
- 2 u |
+ 19 |
|
| After |
9 u |
3 u |
6 u |
|
Comparing Vincent
and Rael in the end |
3 |
1 |
|
|
Comparing Zeph
and Rael in the end |
|
1 |
2 |
|
Number of cards that Vincent had in the end
= 3 x 3 u
= 9 u
Number of cards that Zeph had in the end
= 2 x 3 u
= 6 u
Total number of cards at first
= 9 u + 11 + 5 u + 6 u - 19
= 20 u - 8
20 u - 8 = 152
20 u = 152 + 8
20 u = 160
1 u = 160 ÷ 20 = 8
Number of cards that Zeph had at first
= 6 u - 19
= 6 x 8 - 19
= 48 - 19
= 29
Answer(s): 29
