Tina and Jade have some scones each. If Tina gives Jade 25 scones, Tina will have
34 as many scones as Jade. If Tina gives Jade 9 scones, they will have an equal number of scones. How many scones does Jade have at first?
| |
Case 1 |
Case 2 |
| |
Tina |
Jade |
Tina |
Jade |
| Before |
3 u + 25 |
4 u - 25 |
3.5 u + 9 |
3.5 u - 9 |
| Change |
- 25 |
+ 25 |
- 9 |
+ 9 |
| After |
3 u |
4 u |
3.5 u |
3.5 u |
Total number of scones that Tina and Jade have
= 3 u + 4 u
= 7 u
Number of scones that Tina and Jade each has in the end is the same.
Number of scones that Tina and Jade each has in the end in Case 2
= 7 u ÷ 2
= 3.5 u
Number of scones that Tina had at first is the same in Case 1 and Case 2.
3.5 u + 9 = 3 u + 25
3.5 u - 3 u = 25 - 9
0.5 u = 16
1 u = 16 ÷ 0.5 = 32
Number of scones that Jade has
= 4 u - 25
= 4 x 32 - 25
= 128 - 25
= 103
Answer(s): 103
