Aunt Risa made 95 less scones than macarons. After she gave 0.9 of the scones and
35 of the macarons to Joelle, she was left with 80 less scones than macarons. How many macarons did she make?
| |
Scones |
Macarons |
Comparing scones
and macarons at first |
|
95 more |
Before |
10 u |
5x2 + 95 =
10 u + 95 |
Change |
- 9 u |
- 3x2 - 57 =
- 6 u - 57
|
After |
1 u |
2x2 + 38 =
4 u + 38 |
Comparing scones
and macarons in the end |
|
80 more |
0.9 =
910 35 x 95 = 57
Number of macarons that Aunt Risa gave to Joelle = 6 u + 57
If Aunt Risa made another 80 scones in the end, the number of scones and macarons in the end would be the same.
4 u + 38 = 1 u + 80
4 u - 1 u = 80 - 38
3 u = 42
1 u = 42 ÷ 3 = 14
Number of macarons that Aunt Risa made
= 10 u + 95
= 10 x 14 + 95
= 140 + 95
= 235
Answer(s): 235
