Auntie Rachel baked 66 more chocolate chip sandwiches than apple sandwiches. After she gave
12 of the chocolate chip sandwiches and 0.8 of the apple sandwiches to Kylie, she was left with 60 fewer 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 |
66 more |
|
Before
|
2x5 =
10 u |
+ 66 |
5x2 =
10 u |
Change
|
- 1x5 =
- 5 u |
- 33 |
- 4x2 =
- 8 u |
After
|
1x5 =
5 u |
+ 33 |
1x2 =
2 u |
Comparing chocolate chip sandwiches
and apple sandwiches
in the end |
60 more
|
|
12 x 66 = 33
66 - 33 = 33
0.8 =
810 =
45If Auntie Rachel baked another 60 apple sandwiches, there would be equal number of chocolate chip sandwiches and apple sandwiches in the end.
5 u + 33 = 2 u + 60
5 u - 2 u = 60 - 33
3 u = 27
1 u = 27 ÷ 3 = 9
Total sandwiches that Auntie Rachel baked
= 10 u + 66 + 10 u
= 20 u + 66
= 20 x 9 + 66
= 180 + 66
= 246
Answer(s): 246
