Auntie Rachel baked 66 less cranberry buns than apple buns. After she gave 0.8 of the cranberry buns to Gwen and
13 of the apple buns, she was left with 58 more apple buns than cranberry buns. How many buns did she bake?
|
Cranberry buns |
Apple buns |
Comparing cranberry buns and apple buns at first |
|
66 more |
Before
|
5x3 = 15 |
3x5 = 15 u |
+ 66 |
Change
|
- 4x3 = - 12 u |
- 1x5 = - 5 u |
- 22 |
After
|
1x3 = 3 u |
2x5 = 10 u |
+ 44 |
Comparing cranberry buns and apple buns in the end |
|
58 more
|
0.8 =
810 =
4513 x 66 = 22
66 - 22 = 44
If Auntie Rachel baked another 58 cranberry buns, there would be equal number of apple buns and cranberry buns in the end.
10 u + 44 = 3 u + 58
10 u - 3 u = 58 - 44
7 u = 14
1 u = 14 ÷ 7 = 2
Total buns that Auntie Rachel baked
= 15 u + 66 + 15 u
= 30 u + 66
= 30 x 2 + 66
= 60 + 66
= 126
Answer(s): 126