Auntie Jen baked 16 less cranberry buns than cherry buns. After she gave 0.8 of the cranberry buns to Marion and
12 of the cherry buns, she was left with 23 more cherry buns than cranberry buns. How many buns did she bake?
|
Cranberry buns |
Cherry buns |
Comparing cranberry buns and cherry buns at first |
|
16 more |
Before
|
5x2 = 10 |
2x5 = 10 u |
+ 16 |
Change
|
- 4x2 = - 8 u |
- 1x5 = - 5 u |
- 8 |
After
|
1x2 = 2 u |
1x5 = 5 u |
+ 8 |
Comparing cranberry buns and cherry buns in the end |
|
23 more
|
0.8 =
810 =
4512 x 16 = 8
16 - 8 = 8
If Auntie Jen baked another 23 cranberry buns, there would be equal number of cherry buns and cranberry buns in the end.
5 u + 8 = 2 u + 23
5 u - 2 u = 23 - 8
3 u = 15
1 u = 15 ÷ 3 = 5
Total buns that Auntie Jen baked
= 10 u + 16 + 10 u
= 20 u + 16
= 20 x 5 + 16
= 100 + 16
= 116
Answer(s): 116