Auntie Mary baked 24 more cherry buns than blueberry buns. After she gave
12 of the cherry buns and 0.8 of the blueberry buns to Opal, she was left with 36 fewer blueberry buns than cherry buns. How many buns did she bake?
| |
Cherry buns |
Blueberry buns |
Comparing cherry buns
and blueberry buns
at first |
24 more |
|
Before
|
2x5 =
10 u |
+ 24 |
5x2 =
10 u |
Change
|
- 1x5 =
- 5 u |
- 12 |
- 4x2 =
- 8 u |
After
|
1x5 =
5 u |
+ 12 |
1x2 =
2 u |
Comparing cherry buns
and blueberry buns
in the end |
36 more
|
|
12 x 24 = 12
24 - 12 = 12
0.8 =
810 =
45If Auntie Mary baked another 36 blueberry buns, there would be equal number of cherry buns and blueberry buns in the end.
5 u + 12 = 2 u + 36
5 u - 2 u = 36 - 12
3 u = 24
1 u = 24 ÷ 3 = 8
Total buns that Auntie Mary baked
= 10 u + 24 + 10 u
= 20 u + 24
= 20 x 8 + 24
= 160 + 24
= 184
Answer(s): 184
