Auntie Penelope baked 35 more banana sandwiches than apple sandwiches. After she gave
57 of the banana sandwiches and 0.8 of the apple sandwiches to Marion, she was left with 16 fewer apple sandwiches than banana sandwiches. How many sandwiches did she bake?
| |
Banana sandwiches |
Apple sandwiches |
Comparing banana sandwiches
and apple sandwiches
at first |
35 more |
|
Before
|
7x5 =
35 u |
+ 35 |
5x7 =
35 u |
Change
|
- 5x5 =
- 25 u |
- 25 |
- 4x7 =
- 28 u |
After
|
2x5 =
10 u |
+ 10 |
1x7 =
7 u |
Comparing banana sandwiches
and apple sandwiches
in the end |
16 more
|
|
57 x 35 = 25
35 - 25 = 10
0.8 =
810 =
45If Auntie Penelope baked another 16 apple sandwiches, there would be equal number of banana sandwiches and apple sandwiches in the end.
10 u + 10 = 7 u + 16
10 u - 7 u = 16 - 10
3 u = 6
1 u = 6 ÷ 3 = 2
Total sandwiches that Auntie Penelope baked
= 35 u + 35 + 35 u
= 70 u + 35
= 70 x 2 + 35
= 140 + 35
= 175
Answer(s): 175
