Auntie Xylia baked 84 less apricot buns than blueberry buns. After she gave 0.8 of the apricot buns to Gem and
23 of the blueberry buns, she was left with 40 more blueberry buns than apricot buns. How many buns did she bake?
| |
Apricot buns |
Blueberry buns |
Comparing apricot buns
and blueberry buns
at first |
|
84 more |
Before
|
5x3 =
15 |
3x5 =
15 u |
+ 84 |
Change
|
- 4x3 =
- 12 u |
- 2x5 =
- 10 u |
- 56 |
After
|
1x3 =
3 u |
1x5 =
5 u |
+ 28 |
Comparing apricot buns
and blueberry buns
in the end |
|
40 more
|
0.8 =
810 =
4523 x 84 = 56
84 - 56 = 28
If Auntie Xylia baked another 40 apricot buns, there would be equal number of blueberry buns and apricot buns in the end.
5 u + 28 = 3 u + 40
5 u - 3 u = 40 - 28
2 u = 12
1 u = 12 ÷ 2 = 6
Total buns that Auntie Xylia baked
= 15 u + 84 + 15 u
= 30 u + 84
= 30 x 6 + 84
= 180 + 84
= 264
Answer(s): 264
