Aunt Elyse made 45 less tarts than macarons. After she gave 0.7 of the tarts and
25 of the macarons to Julie, she was left with 39 less tarts than macarons. How many macarons did she make?
| |
Tarts |
Macarons |
Comparing tarts
and macarons at first |
|
45 more |
Before |
10 u |
5x2 + 45 =
10 u + 45 |
Change |
- 7 u |
- 2x2 - 18 =
- 4 u - 18
|
After |
3 u |
3x2 + 27 =
6 u + 27 |
Comparing tarts
and macarons in the end |
|
39 more |
0.7 =
710 25 x 45 = 18
Number of macarons that Aunt Elyse gave to Julie = 4 u + 18
If Aunt Elyse made another 39 tarts in the end, the number of tarts and macarons in the end would be the same.
6 u + 27 = 3 u + 39
6 u - 3 u = 39 - 27
3 u = 12
1 u = 12 ÷ 3 = 4
Number of macarons that Aunt Elyse made
= 10 u + 45
= 10 x 4 + 45
= 40 + 45
= 85
Answer(s): 85
