Aunt Jean made 85 more cupcakes than biscuits. After she gave 0.9 of the cupcakes and
35 of the biscuits to Xandra, she was left with 52 more cupcakes than biscuits. How many cupcakes did she make?
| |
Cupcakes |
Biscuits |
Comparing cupcakes
and biscuits at first |
|
85 more |
Before |
10 u |
5x2 + 85 =
10 u + 85 |
Change |
- 9 u |
- 3x2 - 51 =
- 6 u - 51
|
After |
1 u |
2x2 + 34 =
4 u + 34 |
Comparing cupcakes
and biscuits in the end |
|
52 more |
0.9 =
910 35 x 85 = 51
Number of biscuits that Aunt Jean gave to Xandra = 6 u + 51
If Aunt Jean made another 52 cupcakes in the end, the number of cupcakes and biscuits in the end would be the same.
4 u + 34 = 1 u + 52
4 u - 1 u = 52 - 34
3 u = 18
1 u = 18 ÷ 3 = 6
Number of cupcakes that Aunt Jean made
= 10 u
= 10 x 6
= 60
Answer(s): 60
