Aunt Winnie made 55 less croissants than tarts. After she gave 0.7 of the croissants and
25 of the tarts to Raeann, she was left with 57 less croissants than tarts. How many tarts did she make?
|
Croissants |
Tarts |
Comparing croissants and tarts at first |
|
55 more |
Before |
10 u |
5x2 + 55 = 10 u + 55 |
Change |
- 7 u |
- 2x2 - 22 = - 4 u - 22
|
After |
3 u |
3x2 + 33 = 6 u + 33 |
Comparing croissants and tarts in the end |
|
57 more |
0.7 =
710 25 x 55 = 22
Number of tarts that Aunt Winnie gave to Raeann = 4 u + 22
If Aunt Winnie made another 57 croissants in the end, the number of croissants and tarts in the end would be the same.
6 u + 33 = 3 u + 57
6 u - 3 u = 57 - 33
3 u = 24
1 u = 24 ÷ 3 = 8
Number of tarts that Aunt Winnie made
= 10 u + 55
= 10 x 8 + 55
= 80 + 55
= 135
Answer(s): 135