Auntie Nicole baked 84 more cranberry buns than cherry buns. After she gave
37 of the cranberry buns and 0.8 of the cherry buns to Barbara, she was left with 126 fewer cherry buns than cranberry buns. How many buns did she bake?
|
Cranberry buns |
Cherry buns |
Comparing cranberry buns and cherry buns at first |
84 more |
|
Before
|
7x5 = 35 u |
+ 84 |
5x7 = 35 u |
Change
|
- 3x5 = - 15 u |
- 36 |
- 4x7 = - 28 u |
After
|
4x5 = 20 u |
+ 48 |
1x7 = 7 u |
Comparing cranberry buns and cherry buns in the end |
126 more
|
|
37 x 84 = 36
84 - 36 = 48
0.8 =
810 =
45If Auntie Nicole baked another 126 cherry buns, there would be equal number of cranberry buns and cherry buns in the end.
20 u + 48 = 7 u + 126
20 u - 7 u = 126 - 48
13 u = 78
1 u = 78 ÷ 13 = 6
Total buns that Auntie Nicole baked
= 35 u + 84 + 35 u
= 70 u + 84
= 70 x 6 + 84
= 420 + 84
= 504
Answer(s): 504