Auntie Cindy baked 88 more chocolate chip sandwiches than banana sandwiches. After she gave
12 of the chocolate chip sandwiches and 0.8 of the banana sandwiches to Kylie, she was left with 53 fewer banana sandwiches than chocolate chip sandwiches. How many sandwiches did she bake?
|
Chocolate Chip sandwiches |
Banana sandwiches |
Comparing chocolate chip sandwiches and banana sandwiches at first |
88 more |
|
Before
|
2x5 = 10 u |
+ 88 |
5x2 = 10 u |
Change
|
- 1x5 = - 5 u |
- 44 |
- 4x2 = - 8 u |
After
|
1x5 = 5 u |
+ 44 |
1x2 = 2 u |
Comparing chocolate chip sandwiches and banana sandwiches in the end |
53 more
|
|
12 x 88 = 44
88 - 44 = 44
0.8 =
810 =
45If Auntie Cindy baked another 53 banana sandwiches, there would be equal number of chocolate chip sandwiches and banana sandwiches in the end.
5 u + 44 = 2 u + 53
5 u - 2 u = 53 - 44
3 u = 9
1 u = 9 ÷ 3 = 3
Total sandwiches that Auntie Cindy baked
= 10 u + 88 + 10 u
= 20 u + 88
= 20 x 3 + 88
= 60 + 88
= 148
Answer(s): 148