Aunt Ivory made 80 more tarts than macarons. After she gave 0.7 of the tarts and
25 of the macarons to Opal, she was left with 66 more tarts than macarons. How many tarts did she make?
|
Tarts |
Macarons |
Comparing tarts and macarons at first |
|
80 more |
Before |
10 u |
5x2 + 80 = 10 u + 80 |
Change |
- 7 u |
- 2x2 - 32 = - 4 u - 32
|
After |
3 u |
3x2 + 48 = 6 u + 48 |
Comparing tarts and macarons in the end |
|
66 more |
0.7 =
710 25 x 80 = 32
Number of macarons that Aunt Ivory gave to Opal = 4 u + 32
If Aunt Ivory made another 66 tarts in the end, the number of tarts and macarons in the end would be the same.
6 u + 48 = 3 u + 66
6 u - 3 u = 66 - 48
3 u = 18
1 u = 18 ÷ 3 = 6
Number of tarts that Aunt Ivory made
= 10 u
= 10 x 6
= 60
Answer(s): 60