Auntie Eva baked 78 less cherry sandwiches than apple sandwiches. After she gave 0.4 of the cherry sandwiches to Barbara and
16 of the apple sandwiches, she was left with 121 more apple sandwiches than cherry sandwiches. How many sandwiches did she bake?
| |
Cherry sandwiches |
Apple sandwiches |
Comparing cherry sandwiches
and apple sandwiches
at first |
|
78 more |
Before
|
5x6 =
30 |
6x5 =
30 u |
+ 78 |
Change
|
- 2x6 =
- 12 u |
- 1x5 =
- 5 u |
- 13 |
After
|
3x6 =
18 u |
5x5 =
25 u |
+ 65 |
Comparing cherry sandwiches
and apple sandwiches
in the end |
|
121 more
|
0.4 =
410 =
2516 x 78 = 13
78 - 13 = 65
If Auntie Eva baked another 121 cherry sandwiches, there would be equal number of apple sandwiches and cherry sandwiches in the end.
25 u + 65 = 18 u + 121
25 u - 18 u = 121 - 65
7 u = 56
1 u = 56 ÷ 7 = 8
Total sandwiches that Auntie Eva baked
= 30 u + 78 + 30 u
= 60 u + 78
= 60 x 8 + 78
= 480 + 78
= 558
Answer(s): 558
