Auntie Jane baked 14 more chocolate chip sandwiches than cheese sandwiches. After she gave
37 of the chocolate chip sandwiches and 0.6 of the cheese sandwiches to Gabby, she was left with 44 fewer cheese sandwiches than chocolate chip sandwiches. How many sandwiches did she bake?
| |
Chocolate Chip sandwiches |
Cheese sandwiches |
Comparing chocolate chip sandwiches
and cheese sandwiches
at first |
14 more |
|
Before
|
7x5 =
35 u |
+ 14 |
5x7 =
35 u |
Change
|
- 3x5 =
- 15 u |
- 6 |
- 3x7 =
- 21 u |
After
|
4x5 =
20 u |
+ 8 |
2x7 =
14 u |
Comparing chocolate chip sandwiches
and cheese sandwiches
in the end |
44 more
|
|
37 x 14 = 6
14 - 6 = 8
0.6 =
610 =
35If Auntie Jane baked another 44 cheese sandwiches, there would be equal number of chocolate chip sandwiches and cheese sandwiches in the end.
20 u + 8 = 14 u + 44
20 u - 14 u = 44 - 8
6 u = 36
1 u = 36 ÷ 6 = 6
Total sandwiches that Auntie Jane baked
= 35 u + 14 + 35 u
= 70 u + 14
= 70 x 6 + 14
= 420 + 14
= 434
Answer(s): 434
