Auntie Diana baked 28 more banana sandwiches than chocolate chip sandwiches. After she gave
12 of the banana sandwiches and 0.8 of the chocolate chip sandwiches to Eva, she was left with 35 fewer chocolate chip sandwiches than banana sandwiches. How many sandwiches did she bake?
| |
Banana sandwiches |
Chocolate Chip sandwiches |
Comparing banana sandwiches
and chocolate chip sandwiches
at first |
28 more |
|
Before
|
2x5 =
10 u |
+ 28 |
5x2 =
10 u |
Change
|
- 1x5 =
- 5 u |
- 14 |
- 4x2 =
- 8 u |
After
|
1x5 =
5 u |
+ 14 |
1x2 =
2 u |
Comparing banana sandwiches
and chocolate chip sandwiches
in the end |
35 more
|
|
12 x 28 = 14
28 - 14 = 14
0.8 =
810 =
45If Auntie Diana baked another 35 chocolate chip sandwiches, there would be equal number of banana sandwiches and chocolate chip sandwiches in the end.
5 u + 14 = 2 u + 35
5 u - 2 u = 35 - 14
3 u = 21
1 u = 21 ÷ 3 = 7
Total sandwiches that Auntie Diana baked
= 10 u + 28 + 10 u
= 20 u + 28
= 20 x 7 + 28
= 140 + 28
= 168
Answer(s): 168
