Aunt Sabrina made 75 less tarts than macarons. After she gave 0.7 of the tarts and
25 of the macarons to Fiona, she was left with 102 less tarts than macarons. How many macarons did she make?
| |
Tarts |
Macarons |
Comparing tarts
and macarons at first |
|
75 more |
Before |
10 u |
5x2 + 75 =
10 u + 75 |
Change |
- 7 u |
- 2x2 - 30 =
- 4 u - 30
|
After |
3 u |
3x2 + 45 =
6 u + 45 |
Comparing tarts
and macarons in the end |
|
102 more |
0.7 =
710 25 x 75 = 30
Number of macarons that Aunt Sabrina gave to Fiona = 4 u + 30
If Aunt Sabrina made another 102 tarts in the end, the number of tarts and macarons in the end would be the same.
6 u + 45 = 3 u + 102
6 u - 3 u = 102 - 45
3 u = 57
1 u = 57 ÷ 3 = 19
Number of macarons that Aunt Sabrina made
= 10 u + 75
= 10 x 19 + 75
= 190 + 75
= 265
Answer(s): 265
