Auntie Erika baked 69 more chocolate chip buns than vanilla buns. After she gave
13 of the chocolate chip buns and 0.6 of the vanilla buns to Xuan, she was left with 78 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 |
69 more |
|
Before
|
3x5 =
15 u |
+ 69 |
5x3 =
15 u |
Change
|
- 1x5 =
- 5 u |
- 23 |
- 3x3 =
- 9 u |
After
|
2x5 =
10 u |
+ 46 |
2x3 =
6 u |
Comparing chocolate chip buns
and vanilla buns
in the end |
78 more
|
|
13 x 69 = 23
69 - 23 = 46
0.6 =
610 =
35If Auntie Erika baked another 78 vanilla buns, there would be equal number of chocolate chip buns and vanilla buns in the end.
10 u + 46 = 6 u + 78
10 u - 6 u = 78 - 46
4 u = 32
1 u = 32 ÷ 4 = 8
Total buns that Auntie Erika baked
= 15 u + 69 + 15 u
= 30 u + 69
= 30 x 8 + 69
= 240 + 69
= 309
Answer(s): 309
