Auntie Jean baked 88 less vanilla sandwiches than apple sandwiches. After she gave 0.6 of the vanilla sandwiches to Yoko and
14 of the apple sandwiches, she was left with 87 more apple sandwiches than vanilla sandwiches. How many sandwiches did she bake?
|
Vanilla sandwiches |
Apple sandwiches |
Comparing vanilla sandwiches and apple sandwiches at first |
|
88 more |
Before
|
5x4 = 20 |
4x5 = 20 u |
+ 88 |
Change
|
- 3x4 = - 12 u |
- 1x5 = - 5 u |
- 22 |
After
|
2x4 = 8 u |
3x5 = 15 u |
+ 66 |
Comparing vanilla sandwiches and apple sandwiches in the end |
|
87 more
|
0.6 =
610 =
3514 x 88 = 22
88 - 22 = 66
If Auntie Jean baked another 87 vanilla sandwiches, there would be equal number of apple sandwiches and vanilla sandwiches in the end.
15 u + 66 = 8 u + 87
15 u - 8 u = 87 - 66
7 u = 21
1 u = 21 ÷ 7 = 3
Total sandwiches that Auntie Jean baked
= 20 u + 88 + 20 u
= 40 u + 88
= 40 x 3 + 88
= 120 + 88
= 208
Answer(s): 208