Aunt Xandra made 80 more scones than shortbreads. After she gave 0.9 of the scones and
35 of the shortbreads to Linda, she was left with 56 more scones than shortbreads. How many scones did she make?
|
Scones |
Shortbreads |
Comparing scones and shortbreads at first |
|
80 more |
Before |
10 u |
5x2 + 80 = 10 u + 80 |
Change |
- 9 u |
- 3x2 - 48 = - 6 u - 48
|
After |
1 u |
2x2 + 32 = 4 u + 32 |
Comparing scones and shortbreads in the end |
|
56 more |
0.9 =
910 35 x 80 = 48
Number of shortbreads that Aunt Xandra gave to Linda = 6 u + 48
If Aunt Xandra made another 56 scones in the end, the number of scones and shortbreads in the end would be the same.
4 u + 32 = 1 u + 56
4 u - 1 u = 56 - 32
3 u = 24
1 u = 24 ÷ 3 = 8
Number of scones that Aunt Xandra made
= 10 u
= 10 x 8
= 80
Answer(s): 80