Aunt Pamela made 60 less macarons than shortbreads. After she gave 0.9 of the macarons and
35 of the shortbreads to Vanessa, she was left with 78 less macarons than shortbreads. How many shortbreads did she make?
| |
Macarons |
Shortbreads |
Comparing macarons
and shortbreads at first |
|
60 more |
Before |
10 u |
5x2 + 60 =
10 u + 60 |
Change |
- 9 u |
- 3x2 - 36 =
- 6 u - 36
|
After |
1 u |
2x2 + 24 =
4 u + 24 |
Comparing macarons
and shortbreads in the end |
|
78 more |
0.9 =
910 35 x 60 = 36
Number of shortbreads that Aunt Pamela gave to Vanessa = 6 u + 36
If Aunt Pamela made another 78 macarons in the end, the number of macarons and shortbreads in the end would be the same.
4 u + 24 = 1 u + 78
4 u - 1 u = 78 - 24
3 u = 54
1 u = 54 ÷ 3 = 18
Number of shortbreads that Aunt Pamela made
= 10 u + 60
= 10 x 18 + 60
= 180 + 60
= 240
Answer(s): 240
