Aunt Irene made 45 more macarons than shortbreads. After she gave 0.9 of the macarons and
35 of the shortbreads to Kimberly, she was left with 48 more macarons than shortbreads. How many macarons did she make?
| |
Macarons |
Shortbreads |
Comparing macarons
and shortbreads 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 macarons
and shortbreads in the end |
|
48 more |
0.9 =
910 35 x 45 = 27
Number of shortbreads that Aunt Irene gave to Kimberly = 6 u + 27
If Aunt Irene made another 48 macarons in the end, the number of macarons and shortbreads in the end would be the same.
4 u + 18 = 1 u + 48
4 u - 1 u = 48 - 18
3 u = 30
1 u = 30 ÷ 3 = 10
Number of macarons that Aunt Irene made
= 10 u
= 10 x 10
= 100
Answer(s): 100
