Tim, Gabriel and Oliver had 66 cards. After Tim used 4 cards and Gabriel used
56 of her cards, Tim had twice as many cards left as Gabriel. Oliver bought another 10 cards, he had four times the number of cards Gabriel had left. How many cards did Oliver have at first?
| |
Tim |
Gabriel |
Oliver |
Total |
| Before |
2 u + 4 |
6 u |
4 u - 10 |
66 |
| Change |
- 4 |
- 5 u |
+ 10 |
|
| After |
2 u |
1 u |
4 u |
|
Comparing Tim
and Gabriel in the end |
2 |
1 |
|
|
Comparing Oliver
and Gabriel in the end |
|
1 |
4 |
|
Number of cards that Tim had in the end
= 2 x 1 u
= 2 u
Number of cards that Oliver had in the end
= 4 x 1 u
= 4 u
Total number of cards at first
= 2 u + 4 + 6 u + 4 u - 10
= 12 u - 6
12 u - 6 = 66
12 u = 66 + 6
12 u = 72
1 u = 72 ÷ 12 = 6
Number of cards that Oliver had at first
= 4 u - 10
= 4 x 6 - 10
= 24 - 10
= 14
Answer(s): 14
