Auntie Wendy baked 40 less cranberry buns than vanilla buns. After she gave 0.8 of the cranberry buns to Victoria and
38 of the vanilla buns, she was left with 161 more vanilla buns than cranberry buns. How many buns did she bake?
| |
Cranberry buns |
Vanilla buns |
Comparing cranberry buns
and vanilla buns
at first |
|
40 more |
Before
|
5x8 =
40 |
8x5 =
40 u |
+ 40 |
Change
|
- 4x8 =
- 32 u |
- 3x5 =
- 15 u |
- 15 |
After
|
1x8 =
8 u |
5x5 =
25 u |
+ 25 |
Comparing cranberry buns
and vanilla buns
in the end |
|
161 more
|
0.8 =
810 =
4538 x 40 = 15
40 - 15 = 25
If Auntie Wendy baked another 161 cranberry buns, there would be equal number of vanilla buns and cranberry buns in the end.
25 u + 25 = 8 u + 161
25 u - 8 u = 161 - 25
17 u = 136
1 u = 136 ÷ 17 = 8
Total buns that Auntie Wendy baked
= 40 u + 40 + 40 u
= 80 u + 40
= 80 x 8 + 40
= 640 + 40
= 680
Answer(s): 680
