Auntie Usha baked 49 less cherry sandwiches than apple sandwiches. After she gave 0.8 of the cherry sandwiches to Betty and
47 of the apple sandwiches, she was left with 69 more apple sandwiches than cherry sandwiches. How many sandwiches did she bake?
| |
Cherry sandwiches |
Apple sandwiches |
Comparing cherry sandwiches
and apple sandwiches
at first |
|
49 more |
Before
|
5x7 =
35 |
7x5 =
35 u |
+ 49 |
Change
|
- 4x7 =
- 28 u |
- 4x5 =
- 20 u |
- 28 |
After
|
1x7 =
7 u |
3x5 =
15 u |
+ 21 |
Comparing cherry sandwiches
and apple sandwiches
in the end |
|
69 more
|
0.8 =
810 =
4547 x 49 = 28
49 - 28 = 21
If Auntie Usha baked another 69 cherry sandwiches, there would be equal number of apple sandwiches and cherry sandwiches in the end.
15 u + 21 = 7 u + 69
15 u - 7 u = 69 - 21
8 u = 48
1 u = 48 ÷ 8 = 6
Total sandwiches that Auntie Usha baked
= 35 u + 49 + 35 u
= 70 u + 49
= 70 x 6 + 49
= 420 + 49
= 469
Answer(s): 469
