Auntie Roshel baked 60 more apricot sandwiches than banana sandwiches. After she gave
12 of the apricot sandwiches and 0.8 of the banana sandwiches to Nicole, she was left with 48 fewer banana sandwiches than apricot sandwiches. How many sandwiches did she bake?
| |
Apricot sandwiches |
Banana sandwiches |
Comparing apricot sandwiches
and banana sandwiches
at first |
60 more |
|
Before
|
2x5 =
10 u |
+ 60 |
5x2 =
10 u |
Change
|
- 1x5 =
- 5 u |
- 30 |
- 4x2 =
- 8 u |
After
|
1x5 =
5 u |
+ 30 |
1x2 =
2 u |
Comparing apricot sandwiches
and banana sandwiches
in the end |
48 more
|
|
12 x 60 = 30
60 - 30 = 30
0.8 =
810 =
45If Auntie Roshel baked another 48 banana sandwiches, there would be equal number of apricot sandwiches and banana sandwiches in the end.
5 u + 30 = 2 u + 48
5 u - 2 u = 48 - 30
3 u = 18
1 u = 18 ÷ 3 = 6
Total sandwiches that Auntie Roshel baked
= 10 u + 60 + 10 u
= 20 u + 60
= 20 x 6 + 60
= 120 + 60
= 180
Answer(s): 180
