Auntie Erika baked 39 more banana sandwiches than cheese sandwiches. After she gave
23 of the banana sandwiches and 0.8 of the cheese sandwiches to Hilda, she was left with 25 fewer cheese sandwiches than banana sandwiches. How many sandwiches did she bake?
| |
Banana sandwiches |
Cheese sandwiches |
Comparing banana sandwiches
and cheese sandwiches
at first |
39 more |
|
Before
|
3x5 =
15 u |
+ 39 |
5x3 =
15 u |
Change
|
- 2x5 =
- 10 u |
- 26 |
- 4x3 =
- 12 u |
After
|
1x5 =
5 u |
+ 13 |
1x3 =
3 u |
Comparing banana sandwiches
and cheese sandwiches
in the end |
25 more
|
|
23 x 39 = 26
39 - 26 = 13
0.8 =
810 =
45If Auntie Erika baked another 25 cheese sandwiches, there would be equal number of banana sandwiches and cheese sandwiches in the end.
5 u + 13 = 3 u + 25
5 u - 3 u = 25 - 13
2 u = 12
1 u = 12 ÷ 2 = 6
Total sandwiches that Auntie Erika baked
= 15 u + 39 + 15 u
= 30 u + 39
= 30 x 6 + 39
= 180 + 39
= 219
Answer(s): 219
