Auntie Usha baked 72 more cranberry buns than vanilla buns. After she gave
16 of the cranberry buns and 0.8 of the vanilla buns to Vanessa, she was left with 212 fewer vanilla buns than cranberry buns. How many buns did she bake?
| |
Cranberry buns |
Vanilla buns |
Comparing cranberry buns
and vanilla buns
at first |
72 more |
|
Before
|
6x5 =
30 u |
+ 72 |
5x6 =
30 u |
Change
|
- 1x5 =
- 5 u |
- 12 |
- 4x6 =
- 24 u |
After
|
5x5 =
25 u |
+ 60 |
1x6 =
6 u |
Comparing cranberry buns
and vanilla buns
in the end |
212 more
|
|
16 x 72 = 12
72 - 12 = 60
0.8 =
810 =
45If Auntie Usha baked another 212 vanilla buns, there would be equal number of cranberry buns and vanilla buns in the end.
25 u + 60 = 6 u + 212
25 u - 6 u = 212 - 60
19 u = 152
1 u = 152 ÷ 19 = 8
Total buns that Auntie Usha baked
= 30 u + 72 + 30 u
= 60 u + 72
= 60 x 8 + 72
= 480 + 72
= 552
Answer(s): 552
