Aunt Victoria made 85 more cupcakes than puffs. After she gave 0.9 of the cupcakes and
25 of the puffs to Hilda, she was left with 151 more cupcakes than puffs. How many cupcakes did she make?
| |
Cupcakes |
Puffs |
Comparing cupcakes
and puffs at first |
|
85 more |
Before |
10 u |
5x2 + 85 =
10 u + 85 |
Change |
- 9 u |
- 2x2 - 34 =
- 4 u - 34
|
After |
1 u |
3x2 + 51 =
6 u + 51 |
Comparing cupcakes
and puffs in the end |
|
151 more |
0.9 =
910 25 x 85 = 34
Number of puffs that Aunt Victoria gave to Hilda = 4 u + 34
If Aunt Victoria made another 151 cupcakes in the end, the number of cupcakes and puffs in the end would be the same.
6 u + 51 = 1 u + 151
6 u - 1 u = 151 - 51
5 u = 100
1 u = 100 ÷ 5 = 20
Number of cupcakes that Aunt Victoria made
= 10 u
= 10 x 20
= 200
Answer(s): 200
