Aunt Xuan made 65 more shortbreads than macarons. After she gave 0.9 of the shortbreads and
25 of the macarons to Kathy, she was left with 119 more shortbreads than macarons. How many shortbreads did she make?
| |
Shortbreads |
Macarons |
Comparing shortbreads
and macarons at first |
|
65 more |
Before |
10 u |
5x2 + 65 =
10 u + 65 |
Change |
- 9 u |
- 2x2 - 26 =
- 4 u - 26
|
After |
1 u |
3x2 + 39 =
6 u + 39 |
Comparing shortbreads
and macarons in the end |
|
119 more |
0.9 =
910 25 x 65 = 26
Number of macarons that Aunt Xuan gave to Kathy = 4 u + 26
If Aunt Xuan made another 119 shortbreads in the end, the number of shortbreads and macarons in the end would be the same.
6 u + 39 = 1 u + 119
6 u - 1 u = 119 - 39
5 u = 80
1 u = 80 ÷ 5 = 16
Number of shortbreads that Aunt Xuan made
= 10 u
= 10 x 16
= 160
Answer(s): 160
