Aunt Irene made 85 less tarts than macarons. After she gave 0.7 of the tarts and
25 of the macarons to Kimberly, she was left with 72 less tarts than macarons. How many macarons did she make?
|
Tarts |
Macarons |
Comparing tarts and macarons at first |
|
85 more |
Before |
10 u |
5x2 + 85 = 10 u + 85 |
Change |
- 7 u |
- 2x2 - 34 = - 4 u - 34
|
After |
3 u |
3x2 + 51 = 6 u + 51 |
Comparing tarts and macarons in the end |
|
72 more |
0.7 =
710 25 x 85 = 34
Number of macarons that Aunt Irene gave to Kimberly = 4 u + 34
If Aunt Irene made another 72 tarts in the end, the number of tarts and macarons in the end would be the same.
6 u + 51 = 3 u + 72
6 u - 3 u = 72 - 51
3 u = 21
1 u = 21 ÷ 3 = 7
Number of macarons that Aunt Irene made
= 10 u + 85
= 10 x 7 + 85
= 70 + 85
= 155
Answer(s): 155