Aunt Jane made 75 more tarts than macarons. After she gave 0.7 of the tarts and
25 of the macarons to Erika, she was left with 69 more tarts than macarons. How many tarts 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 |
|
69 more |
0.7 =
710 25 x 75 = 30
Number of macarons that Aunt Jane gave to Erika = 4 u + 30
If Aunt Jane made another 69 tarts in the end, the number of tarts and macarons in the end would be the same.
6 u + 45 = 3 u + 69
6 u - 3 u = 69 - 45
3 u = 24
1 u = 24 ÷ 3 = 8
Number of tarts that Aunt Jane made
= 10 u
= 10 x 8
= 80
Answer(s): 80