Auntie Betty baked 60 more banana sandwiches than cherry sandwiches. After she gave
13 of the banana sandwiches and 0.8 of the cherry sandwiches to Raeann, she was left with 103 fewer cherry sandwiches than banana sandwiches. How many sandwiches did she bake?
| |
Banana sandwiches |
Cherry sandwiches |
Comparing banana sandwiches
and cherry sandwiches
at first |
60 more |
|
Before
|
3x5 =
15 u |
+ 60 |
5x3 =
15 u |
Change
|
- 1x5 =
- 5 u |
- 20 |
- 4x3 =
- 12 u |
After
|
2x5 =
10 u |
+ 40 |
1x3 =
3 u |
Comparing banana sandwiches
and cherry sandwiches
in the end |
103 more
|
|
13 x 60 = 20
60 - 20 = 40
0.8 =
810 =
45If Auntie Betty baked another 103 cherry sandwiches, there would be equal number of banana sandwiches and cherry sandwiches in the end.
10 u + 40 = 3 u + 103
10 u - 3 u = 103 - 40
7 u = 63
1 u = 63 ÷ 7 = 9
Total sandwiches that Auntie Betty baked
= 15 u + 60 + 15 u
= 30 u + 60
= 30 x 9 + 60
= 270 + 60
= 330
Answer(s): 330
