Perry, Flynn and Elijah had 120 stickers. After Perry used 13 stickers and Flynn used
67 of her stickers, Perry had twice as many stickers left as Flynn. Elijah bought another 23 stickers, he had four times the number of stickers Flynn had left. How many stickers did Elijah have at first?
| |
Perry |
Flynn |
Elijah |
Total |
| Before |
2 u + 13 |
7 u |
4 u - 23 |
120 |
| Change |
- 13 |
- 6 u |
+ 23 |
|
| After |
2 u |
1 u |
4 u |
|
Comparing Perry
and Flynn in the end |
2 |
1 |
|
|
Comparing Elijah
and Flynn in the end |
|
1 |
4 |
|
Number of stickers that Perry had in the end
= 2 x 1 u
= 2 u
Number of stickers that Elijah had in the end
= 4 x 1 u
= 4 u
Total number of stickers at first
= 2 u + 13 + 7 u + 4 u - 23
= 13 u - 10
13 u - 10 = 120
13 u = 120 + 10
13 u = 130
1 u = 130 ÷ 13 = 10
Number of stickers that Elijah had at first
= 4 u - 23
= 4 x 10 - 23
= 40 - 23
= 17
Answer(s): 17
