Aunt Victoria made 45 more shortbreads than croissants. After she gave 0.9 of the shortbreads and
35 of the croissants to Jade, she was left with 72 more shortbreads than croissants. How many shortbreads did she make?
|
Shortbreads |
Croissants |
Comparing shortbreads and croissants at first |
|
45 more |
Before |
10 u |
5x2 + 45 = 10 u + 45 |
Change |
- 9 u |
- 3x2 - 27 = - 6 u - 27
|
After |
1 u |
2x2 + 18 = 4 u + 18 |
Comparing shortbreads and croissants in the end |
|
72 more |
0.9 =
910 35 x 45 = 27
Number of croissants that Aunt Victoria gave to Jade = 6 u + 27
If Aunt Victoria made another 72 shortbreads in the end, the number of shortbreads and croissants in the end would be the same.
4 u + 18 = 1 u + 72
4 u - 1 u = 72 - 18
3 u = 54
1 u = 54 ÷ 3 = 18
Number of shortbreads that Aunt Victoria made
= 10 u
= 10 x 18
= 180
Answer(s): 180