Aunt Emily made 60 less macarons than biscuits. After she gave 0.7 of the macarons and
25 of the biscuits to Jean, she was left with 84 less macarons than biscuits. How many biscuits did she make?
| |
Macarons |
Biscuits |
Comparing macarons
and biscuits 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 macarons
and biscuits in the end |
|
84 more |
0.7 =
710 25 x 60 = 24
Number of biscuits that Aunt Emily gave to Jean = 4 u + 24
If Aunt Emily made another 84 macarons in the end, the number of macarons and biscuits in the end would be the same.
6 u + 36 = 3 u + 84
6 u - 3 u = 84 - 36
3 u = 48
1 u = 48 ÷ 3 = 16
Number of biscuits that Aunt Emily made
= 10 u + 60
= 10 x 16 + 60
= 160 + 60
= 220
Answer(s): 220
