Aunt Hilda made 60 less puffs than macarons. After she gave 0.7 of the puffs and
25 of the macarons to Gillian, she was left with 87 less puffs than macarons. How many macarons did she make?
| |
Puffs |
Macarons |
Comparing puffs
and macarons at first |
|
60 more |
Before |
10 u |
5x2 + 60 =
10 u + 60 |
Change |
- 7 u |
- 2x2 - 24 =
- 4 u - 24
|
After |
3 u |
3x2 + 36 =
6 u + 36 |
Comparing puffs
and macarons in the end |
|
87 more |
0.7 =
710 25 x 60 = 24
Number of macarons that Aunt Hilda gave to Gillian = 4 u + 24
If Aunt Hilda made another 87 puffs in the end, the number of puffs and macarons in the end would be the same.
6 u + 36 = 3 u + 87
6 u - 3 u = 87 - 36
3 u = 51
1 u = 51 ÷ 3 = 17
Number of macarons that Aunt Hilda made
= 10 u + 60
= 10 x 17 + 60
= 170 + 60
= 230
Answer(s): 230
