Auntie Xandra baked 27 more apple sandwiches than cherry sandwiches. After she gave
13 of the apple sandwiches and 0.6 of the cherry sandwiches to Natalie, she was left with 38 fewer cherry sandwiches than apple sandwiches. How many sandwiches did she bake?
| |
Apple sandwiches |
Cherry sandwiches |
Comparing apple sandwiches
and cherry sandwiches
at first |
27 more |
|
Before
|
3x5 =
15 u |
+ 27 |
5x3 =
15 u |
Change
|
- 1x5 =
- 5 u |
- 9 |
- 3x3 =
- 9 u |
After
|
2x5 =
10 u |
+ 18 |
2x3 =
6 u |
Comparing apple sandwiches
and cherry sandwiches
in the end |
38 more
|
|
13 x 27 = 9
27 - 9 = 18
0.6 =
610 =
35If Auntie Xandra baked another 38 cherry sandwiches, there would be equal number of apple sandwiches and cherry sandwiches in the end.
10 u + 18 = 6 u + 38
10 u - 6 u = 38 - 18
4 u = 20
1 u = 20 ÷ 4 = 5
Total sandwiches that Auntie Xandra baked
= 15 u + 27 + 15 u
= 30 u + 27
= 30 x 5 + 27
= 150 + 27
= 177
Answer(s): 177
