Auntie Esther baked 30 less apple sandwiches than cherry sandwiches. After she gave 0.8 of the apple sandwiches to Victoria and
13 of the cherry sandwiches, she was left with 55 more cherry sandwiches than apple sandwiches. How many sandwiches did she bake?
| |
Apple sandwiches |
Cherry sandwiches |
Comparing apple sandwiches
and cherry sandwiches
at first |
|
30 more |
Before
|
5x3 =
15 |
3x5 =
15 u |
+ 30 |
Change
|
- 4x3 =
- 12 u |
- 1x5 =
- 5 u |
- 10 |
After
|
1x3 =
3 u |
2x5 =
10 u |
+ 20 |
Comparing apple sandwiches
and cherry sandwiches
in the end |
|
55 more
|
0.8 =
810 =
4513 x 30 = 10
30 - 10 = 20
If Auntie Esther baked another 55 apple sandwiches, there would be equal number of cherry sandwiches and apple sandwiches in the end.
10 u + 20 = 3 u + 55
10 u - 3 u = 55 - 20
7 u = 35
1 u = 35 ÷ 7 = 5
Total sandwiches that Auntie Esther baked
= 15 u + 30 + 15 u
= 30 u + 30
= 30 x 5 + 30
= 150 + 30
= 180
Answer(s): 180
