Auntie Nora baked 28 less strawberry sandwiches than banana sandwiches. After she gave 0.2 of the strawberry sandwiches to Erika and
17 of the banana sandwiches, she was left with 32 more banana sandwiches than strawberry sandwiches. How many sandwiches did she bake?
|
Strawberry sandwiches |
Banana sandwiches |
Comparing strawberry sandwiches and banana sandwiches at first |
|
28 more |
Before
|
5x7 = 35 |
7x5 = 35 u |
+ 28 |
Change
|
- 1x7 = - 7 u |
- 1x5 = - 5 u |
- 4 |
After
|
4x7 = 28 u |
6x5 = 30 u |
+ 24 |
Comparing strawberry sandwiches and banana sandwiches in the end |
|
32 more
|
0.2 =
210 =
1517 x 28 = 4
28 - 4 = 24
If Auntie Nora baked another 32 strawberry sandwiches, there would be equal number of banana sandwiches and strawberry sandwiches in the end.
30 u + 24 = 28 u + 32
30 u - 28 u = 32 - 24
2 u = 8
1 u = 8 ÷ 2 = 4
Total sandwiches that Auntie Nora baked
= 35 u + 28 + 35 u
= 70 u + 28
= 70 x 4 + 28
= 280 + 28
= 308
Answer(s): 308