Aunt Jade made 70 more macarons than scones. After she gave 0.9 of the macarons and
25 of the scones to Sarah, she was left with 112 more macarons than scones. How many macarons did she make?
|
Macarons |
Scones |
Comparing macarons and scones at first |
|
70 more |
Before |
10 u |
5x2 + 70 = 10 u + 70 |
Change |
- 9 u |
- 2x2 - 28 = - 4 u - 28
|
After |
1 u |
3x2 + 42 = 6 u + 42 |
Comparing macarons and scones in the end |
|
112 more |
0.9 =
910 25 x 70 = 28
Number of scones that Aunt Jade gave to Sarah = 4 u + 28
If Aunt Jade made another 112 macarons in the end, the number of macarons and scones in the end would be the same.
6 u + 42 = 1 u + 112
6 u - 1 u = 112 - 42
5 u = 70
1 u = 70 ÷ 5 = 14
Number of macarons that Aunt Jade made
= 10 u
= 10 x 14
= 140
Answer(s): 140