Lucy and Jade have some scones each. If Lucy gives Jade 7 scones, Lucy will have
29 as many scones as Jade. If Lucy gives Jade 3 scones, they will have an equal number of scones. How many scones does Lucy have at first?
| |
Case 1 |
Case 2 |
| |
Lucy |
Jade |
Lucy |
Jade |
| Before |
2 u + 7 |
9 u - 7 |
5.5 u + 3 |
5.5 u - 3 |
| Change |
- 7 |
+ 7 |
- 3 |
+ 3 |
| After |
2 u |
9 u |
5.5 u |
5.5 u |
Total number of scones that Lucy and Jade have
= 2 u + 9 u
= 11 u
Number of scones that Lucy and Jade each has in the end is the same.
Number of scones that Lucy and Jade each has in the end in Case 2
= 11 u ÷ 2
= 5.5 u
Number of scones that Lucy had at first is the same in Case 1 and Case 2.
5.5 u + 3 = 2 u + 7
5.5 u - 2 u = 7 - 3
0.5 u = 4
1 u = 4 ÷ 0.5 = 8
Number of scones that Lucy has
= 2 u + 7
= 2 x 8 + 7
= 16 + 7
= 23
Answer(s): 23
