Auntie Vanessa baked 100 less vanilla sandwiches than chocolate chip sandwiches. After she gave 0.6 of the vanilla sandwiches to Ivory and
14 of the chocolate chip sandwiches, she was left with 131 more chocolate chip sandwiches than vanilla sandwiches. How many sandwiches did she bake?
| |
Vanilla sandwiches |
Chocolate Chip sandwiches |
Comparing vanilla sandwiches
and chocolate chip sandwiches
at first |
|
100 more |
Before
|
5x4 =
20 |
4x5 =
20 u |
+ 100 |
Change
|
- 3x4 =
- 12 u |
- 1x5 =
- 5 u |
- 25 |
After
|
2x4 =
8 u |
3x5 =
15 u |
+ 75 |
Comparing vanilla sandwiches
and chocolate chip sandwiches
in the end |
|
131 more
|
0.6 =
610 =
3514 x 100 = 25
100 - 25 = 75
If Auntie Vanessa baked another 131 vanilla sandwiches, there would be equal number of chocolate chip sandwiches and vanilla sandwiches in the end.
15 u + 75 = 8 u + 131
15 u - 8 u = 131 - 75
7 u = 56
1 u = 56 ÷ 7 = 8
Total sandwiches that Auntie Vanessa baked
= 20 u + 100 + 20 u
= 40 u + 100
= 40 x 8 + 100
= 320 + 100
= 420
Answer(s): 420
