Auntie Betty baked 57 more strawberry sandwiches than banana sandwiches. After she gave
13 of the strawberry sandwiches and 0.8 of the banana sandwiches to Hilda, she was left with 94 fewer banana sandwiches than strawberry sandwiches. How many sandwiches did she bake?
| |
Strawberry sandwiches |
Banana sandwiches |
Comparing strawberry sandwiches
and banana sandwiches
at first |
57 more |
|
Before
|
3x5 =
15 u |
+ 57 |
5x3 =
15 u |
Change
|
- 1x5 =
- 5 u |
- 19 |
- 4x3 =
- 12 u |
After
|
2x5 =
10 u |
+ 38 |
1x3 =
3 u |
Comparing strawberry sandwiches
and banana sandwiches
in the end |
94 more
|
|
13 x 57 = 19
57 - 19 = 38
0.8 =
810 =
45If Auntie Betty baked another 94 banana sandwiches, there would be equal number of strawberry sandwiches and banana sandwiches in the end.
10 u + 38 = 3 u + 94
10 u - 3 u = 94 - 38
7 u = 56
1 u = 56 ÷ 7 = 8
Total sandwiches that Auntie Betty baked
= 15 u + 57 + 15 u
= 30 u + 57
= 30 x 8 + 57
= 240 + 57
= 297
Answer(s): 297
