Aunt Sarah made 65 less muffins than scones. After she gave 0.7 of the muffins and
25 of the scones to Victoria, she was left with 81 less muffins than scones. How many scones did she make?
|
Muffins |
Scones |
Comparing muffins and scones at first |
|
65 more |
Before |
10 u |
5x2 + 65 = 10 u + 65 |
Change |
- 7 u |
- 2x2 - 26 = - 4 u - 26
|
After |
3 u |
3x2 + 39 = 6 u + 39 |
Comparing muffins and scones in the end |
|
81 more |
0.7 =
710 25 x 65 = 26
Number of scones that Aunt Sarah gave to Victoria = 4 u + 26
If Aunt Sarah made another 81 muffins in the end, the number of muffins and scones in the end would be the same.
6 u + 39 = 3 u + 81
6 u - 3 u = 81 - 39
3 u = 42
1 u = 42 ÷ 3 = 14
Number of scones that Aunt Sarah made
= 10 u + 65
= 10 x 14 + 65
= 140 + 65
= 205
Answer(s): 205