Aunt Gwen made 90 more macarons than tarts. After she gave 0.7 of the macarons and
25 of the tarts to Natalie, she was left with 114 more macarons than tarts. How many macarons did she make?
| |
Macarons |
Tarts |
Comparing macarons
and tarts at first |
|
90 more |
Before |
10 u |
5x2 + 90 =
10 u + 90 |
Change |
- 7 u |
- 2x2 - 36 =
- 4 u - 36
|
After |
3 u |
3x2 + 54 =
6 u + 54 |
Comparing macarons
and tarts in the end |
|
114 more |
0.7 =
710 25 x 90 = 36
Number of tarts that Aunt Gwen gave to Natalie = 4 u + 36
If Aunt Gwen made another 114 macarons in the end, the number of macarons and tarts in the end would be the same.
6 u + 54 = 3 u + 114
6 u - 3 u = 114 - 54
3 u = 60
1 u = 60 ÷ 3 = 20
Number of macarons that Aunt Gwen made
= 10 u
= 10 x 20
= 200
Answer(s): 200
