Aunt Zoe made 40 less macarons than scones. After she gave 0.7 of the macarons and
25 of the scones to Natalie, she was left with 48 less macarons than scones. How many scones did she make?
| |
Macarons |
Scones |
Comparing macarons
and scones at first |
|
40 more |
Before |
10 u |
5x2 + 40 =
10 u + 40 |
Change |
- 7 u |
- 2x2 - 16 =
- 4 u - 16
|
After |
3 u |
3x2 + 24 =
6 u + 24 |
Comparing macarons
and scones in the end |
|
48 more |
0.7 =
710 25 x 40 = 16
Number of scones that Aunt Zoe gave to Natalie = 4 u + 16
If Aunt Zoe made another 48 macarons in the end, the number of macarons and scones in the end would be the same.
6 u + 24 = 3 u + 48
6 u - 3 u = 48 - 24
3 u = 24
1 u = 24 ÷ 3 = 8
Number of scones that Aunt Zoe made
= 10 u + 40
= 10 x 8 + 40
= 80 + 40
= 120
Answer(s): 120
