Aunt Sarah made 80 more cupcakes than tarts. After she gave 0.9 of the cupcakes and
35 of the tarts to Jean, she was left with 83 more cupcakes than tarts. How many cupcakes did she make?
| |
Cupcakes |
Tarts |
Comparing cupcakes
and tarts at first |
|
80 more |
Before |
10 u |
5x2 + 80 =
10 u + 80 |
Change |
- 9 u |
- 3x2 - 48 =
- 6 u - 48
|
After |
1 u |
2x2 + 32 =
4 u + 32 |
Comparing cupcakes
and tarts in the end |
|
83 more |
0.9 =
910 35 x 80 = 48
Number of tarts that Aunt Sarah gave to Jean = 6 u + 48
If Aunt Sarah made another 83 cupcakes in the end, the number of cupcakes and tarts in the end would be the same.
4 u + 32 = 1 u + 83
4 u - 1 u = 83 - 32
3 u = 51
1 u = 51 ÷ 3 = 17
Number of cupcakes that Aunt Sarah made
= 10 u
= 10 x 17
= 170
Answer(s): 170
