Brandon, Gabriel and Tim had 150 stickers. After Brandon used 12 stickers and Gabriel used
16 of her stickers, Brandon had thrice as many stickers left as Gabriel. Tim bought another 17 stickers, he had twice the number of stickers Gabriel had left. How many stickers did Tim have at first?
| |
Brandon |
Gabriel |
Tim |
Total |
| Before |
15 u + 12 |
6 u |
10 u - 17 |
150 |
| Change |
- 12 |
- 1 u |
+ 17 |
|
| After |
15 u |
5 u |
10 u |
|
Comparing Brandon
and Gabriel in the end |
3 |
1 |
|
|
Comparing Tim
and Gabriel in the end |
|
1 |
2 |
|
Number of stickers that Brandon had in the end
= 3 x 5 u
= 15 u
Number of stickers that Tim had in the end
= 2 x 5 u
= 10 u
Total number of stickers at first
= 15 u + 12 + 6 u + 10 u - 17
= 31 u - 5
31 u - 5 = 150
31 u = 150 + 5
31 u = 155
1 u = 155 ÷ 31 = 5
Number of stickers that Tim had at first
= 10 u - 17
= 10 x 5 - 17
= 50 - 17
= 33
Answer(s): 33
