Auntie Shannon baked 54 more chocolate chip buns than vanilla buns. After she gave
23 of the chocolate chip buns and 0.8 of the vanilla buns to Gabby, she was left with 28 fewer vanilla buns than chocolate chip buns. How many buns did she bake?
|
Chocolate Chip buns |
Vanilla buns |
Comparing chocolate chip buns and vanilla buns at first |
54 more |
|
Before
|
3x5 = 15 u |
+ 54 |
5x3 = 15 u |
Change
|
- 2x5 = - 10 u |
- 36 |
- 4x3 = - 12 u |
After
|
1x5 = 5 u |
+ 18 |
1x3 = 3 u |
Comparing chocolate chip buns and vanilla buns in the end |
28 more
|
|
23 x 54 = 36
54 - 36 = 18
0.8 =
810 =
45If Auntie Shannon baked another 28 vanilla buns, there would be equal number of chocolate chip buns and vanilla buns in the end.
5 u + 18 = 3 u + 28
5 u - 3 u = 28 - 18
2 u = 10
1 u = 10 ÷ 2 = 5
Total buns that Auntie Shannon baked
= 15 u + 54 + 15 u
= 30 u + 54
= 30 x 5 + 54
= 150 + 54
= 204
Answer(s): 204