Auntie Shiyun baked 80 more vanilla sandwiches than apple sandwiches. After she gave
14 of the vanilla sandwiches and 0.8 of the apple sandwiches to Gwen, she was left with 93 fewer apple sandwiches than vanilla sandwiches. How many sandwiches did she bake?
| |
Vanilla sandwiches |
Apple sandwiches |
Comparing vanilla sandwiches
and apple sandwiches
at first |
80 more |
|
Before
|
4x5 =
20 u |
+ 80 |
5x4 =
20 u |
Change
|
- 1x5 =
- 5 u |
- 20 |
- 4x4 =
- 16 u |
After
|
3x5 =
15 u |
+ 60 |
1x4 =
4 u |
Comparing vanilla sandwiches
and apple sandwiches
in the end |
93 more
|
|
14 x 80 = 20
80 - 20 = 60
0.8 =
810 =
45If Auntie Shiyun baked another 93 apple sandwiches, there would be equal number of vanilla sandwiches and apple sandwiches in the end.
15 u + 60 = 4 u + 93
15 u - 4 u = 93 - 60
11 u = 33
1 u = 33 ÷ 11 = 3
Total sandwiches that Auntie Shiyun baked
= 20 u + 80 + 20 u
= 40 u + 80
= 40 x 3 + 80
= 120 + 80
= 200
Answer(s): 200
