Auntie Fiona baked 88 more cranberry buns than banana buns. After she gave
18 of the cranberry buns and 0.6 of the banana buns to Usha, she was left with 172 fewer banana buns than cranberry buns. How many buns did she bake?
|
Cranberry buns |
Banana buns |
Comparing cranberry buns and banana buns at first |
88 more |
|
Before
|
8x5 = 40 u |
+ 88 |
5x8 = 40 u |
Change
|
- 1x5 = - 5 u |
- 11 |
- 3x8 = - 24 u |
After
|
7x5 = 35 u |
+ 77 |
2x8 = 16 u |
Comparing cranberry buns and banana buns in the end |
172 more
|
|
18 x 88 = 11
88 - 11 = 77
0.6 =
610 =
35If Auntie Fiona baked another 172 banana buns, there would be equal number of cranberry buns and banana buns in the end.
35 u + 77 = 16 u + 172
35 u - 16 u = 172 - 77
19 u = 95
1 u = 95 ÷ 19 = 5
Total buns that Auntie Fiona baked
= 40 u + 88 + 40 u
= 80 u + 88
= 80 x 5 + 88
= 400 + 88
= 488
Answer(s): 488