Auntie Pamela baked 42 less chocolate chip sandwiches than apple sandwiches. After she gave 0.4 of the chocolate chip sandwiches to Dana and
17 of the apple sandwiches, she was left with 72 more apple sandwiches than chocolate chip sandwiches. How many sandwiches did she bake?
| |
Chocolate Chip sandwiches |
Apple sandwiches |
Comparing chocolate chip sandwiches
and apple sandwiches
at first |
|
42 more |
Before
|
5x7 =
35 |
7x5 =
35 u |
+ 42 |
Change
|
- 2x7 =
- 14 u |
- 1x5 =
- 5 u |
- 6 |
After
|
3x7 =
21 u |
6x5 =
30 u |
+ 36 |
Comparing chocolate chip sandwiches
and apple sandwiches
in the end |
|
72 more
|
0.4 =
410 =
2517 x 42 = 6
42 - 6 = 36
If Auntie Pamela baked another 72 chocolate chip sandwiches, there would be equal number of apple sandwiches and chocolate chip sandwiches in the end.
30 u + 36 = 21 u + 72
30 u - 21 u = 72 - 36
9 u = 36
1 u = 36 ÷ 9 = 4
Total sandwiches that Auntie Pamela baked
= 35 u + 42 + 35 u
= 70 u + 42
= 70 x 4 + 42
= 280 + 42
= 322
Answer(s): 322
