Auntie Emily baked 81 more banana sandwiches than cranberry sandwiches. After she gave
13 of the banana sandwiches and 0.6 of the cranberry sandwiches to Joelle, she was left with 78 fewer cranberry sandwiches than banana sandwiches. How many sandwiches did she bake?
| |
Banana sandwiches |
Cranberry sandwiches |
Comparing banana sandwiches
and cranberry sandwiches
at first |
81 more |
|
Before
|
3x5 =
15 u |
+ 81 |
5x3 =
15 u |
Change
|
- 1x5 =
- 5 u |
- 27 |
- 3x3 =
- 9 u |
After
|
2x5 =
10 u |
+ 54 |
2x3 =
6 u |
Comparing banana sandwiches
and cranberry sandwiches
in the end |
78 more
|
|
13 x 81 = 27
81 - 27 = 54
0.6 =
610 =
35If Auntie Emily baked another 78 cranberry sandwiches, there would be equal number of banana sandwiches and cranberry sandwiches in the end.
10 u + 54 = 6 u + 78
10 u - 6 u = 78 - 54
4 u = 24
1 u = 24 ÷ 4 = 6
Total sandwiches that Auntie Emily baked
= 15 u + 81 + 15 u
= 30 u + 81
= 30 x 6 + 81
= 180 + 81
= 261
Answer(s): 261
