Aunt Cathy made 95 less croissants than scones. After she gave 0.7 of the croissants and
25 of the scones to Fiona, she was left with 78 less croissants than scones. How many scones did she make?
|
Croissants |
Scones |
Comparing croissants and scones at first |
|
95 more |
Before |
10 u |
5x2 + 95 = 10 u + 95 |
Change |
- 7 u |
- 2x2 - 38 = - 4 u - 38
|
After |
3 u |
3x2 + 57 = 6 u + 57 |
Comparing croissants and scones in the end |
|
78 more |
0.7 =
710 25 x 95 = 38
Number of scones that Aunt Cathy gave to Fiona = 4 u + 38
If Aunt Cathy made another 78 croissants in the end, the number of croissants and scones in the end would be the same.
6 u + 57 = 3 u + 78
6 u - 3 u = 78 - 57
3 u = 21
1 u = 21 ÷ 3 = 7
Number of scones that Aunt Cathy made
= 10 u + 95
= 10 x 7 + 95
= 70 + 95
= 165
Answer(s): 165