Auntie Zoe baked 50 less vanilla buns than cherry buns. After she gave 0.8 of the vanilla buns to Hilda and
12 of the cherry buns, she was left with 49 more cherry buns than vanilla buns. How many buns did she bake?
| |
Vanilla buns |
Cherry buns |
Comparing vanilla buns
and cherry buns
at first |
|
50 more |
Before
|
5x2 =
10 |
2x5 =
10 u |
+ 50 |
Change
|
- 4x2 =
- 8 u |
- 1x5 =
- 5 u |
- 25 |
After
|
1x2 =
2 u |
1x5 =
5 u |
+ 25 |
Comparing vanilla buns
and cherry buns
in the end |
|
49 more
|
0.8 =
810 =
4512 x 50 = 25
50 - 25 = 25
If Auntie Zoe baked another 49 vanilla buns, there would be equal number of cherry buns and vanilla buns in the end.
5 u + 25 = 2 u + 49
5 u - 2 u = 49 - 25
3 u = 24
1 u = 24 ÷ 3 = 8
Total buns that Auntie Zoe baked
= 10 u + 50 + 10 u
= 20 u + 50
= 20 x 8 + 50
= 160 + 50
= 210
Answer(s): 210
