Auntie Kathy baked 78 less strawberry buns than cranberry buns. After she gave 0.8 of the strawberry buns to Tiffany and
23 of the cranberry buns, she was left with 34 more cranberry buns than strawberry buns. How many buns did she bake?
|
Strawberry buns |
Cranberry buns |
Comparing strawberry buns and cranberry buns at first |
|
78 more |
Before
|
5x3 = 15 |
3x5 = 15 u |
+ 78 |
Change
|
- 4x3 = - 12 u |
- 2x5 = - 10 u |
- 52 |
After
|
1x3 = 3 u |
1x5 = 5 u |
+ 26 |
Comparing strawberry buns and cranberry buns in the end |
|
34 more
|
0.8 =
810 =
4523 x 78 = 52
78 - 52 = 26
If Auntie Kathy baked another 34 strawberry buns, there would be equal number of cranberry buns and strawberry buns in the end.
5 u + 26 = 3 u + 34
5 u - 3 u = 34 - 26
2 u = 8
1 u = 8 ÷ 2 = 4
Total buns that Auntie Kathy baked
= 15 u + 78 + 15 u
= 30 u + 78
= 30 x 4 + 78
= 120 + 78
= 198
Answer(s): 198