Auntie Rachel baked 64 less blueberry buns than vanilla buns. After she gave 0.6 of the blueberry buns to Pamela and
14 of the vanilla buns, she was left with 97 more vanilla buns than blueberry buns. How many buns did she bake?
| |
Blueberry buns |
Vanilla buns |
Comparing blueberry buns
and vanilla buns
at first |
|
64 more |
Before
|
5x4 =
20 |
4x5 =
20 u |
+ 64 |
Change
|
- 3x4 =
- 12 u |
- 1x5 =
- 5 u |
- 16 |
After
|
2x4 =
8 u |
3x5 =
15 u |
+ 48 |
Comparing blueberry buns
and vanilla buns
in the end |
|
97 more
|
0.6 =
610 =
3514 x 64 = 16
64 - 16 = 48
If Auntie Rachel baked another 97 blueberry buns, there would be equal number of vanilla buns and blueberry buns in the end.
15 u + 48 = 8 u + 97
15 u - 8 u = 97 - 48
7 u = 49
1 u = 49 ÷ 7 = 7
Total buns that Auntie Rachel baked
= 20 u + 64 + 20 u
= 40 u + 64
= 40 x 7 + 64
= 280 + 64
= 344
Answer(s): 344
