Aunt Sabrina made 95 less macarons than shortbreads. After she gave 0.7 of the macarons and
25 of the shortbreads to Betty, she was left with 75 less macarons than shortbreads. How many shortbreads did she make?
| |
Macarons |
Shortbreads |
Comparing macarons
and shortbreads 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 macarons
and shortbreads in the end |
|
75 more |
0.7 =
710 25 x 95 = 38
Number of shortbreads that Aunt Sabrina gave to Betty = 4 u + 38
If Aunt Sabrina made another 75 macarons in the end, the number of macarons and shortbreads in the end would be the same.
6 u + 57 = 3 u + 75
6 u - 3 u = 75 - 57
3 u = 18
1 u = 18 ÷ 3 = 6
Number of shortbreads that Aunt Sabrina made
= 10 u + 95
= 10 x 6 + 95
= 60 + 95
= 155
Answer(s): 155
