Auntie Hazel baked 48 less cranberry sandwiches than banana sandwiches. After she gave 0.6 of the cranberry sandwiches to Lynn and
16 of the banana sandwiches, she was left with 118 more banana sandwiches than cranberry sandwiches. How many sandwiches did she bake?
| |
Cranberry sandwiches |
Banana sandwiches |
Comparing cranberry sandwiches
and banana sandwiches
at first |
|
48 more |
Before
|
5x6 =
30 |
6x5 =
30 u |
+ 48 |
Change
|
- 3x6 =
- 18 u |
- 1x5 =
- 5 u |
- 8 |
After
|
2x6 =
12 u |
5x5 =
25 u |
+ 40 |
Comparing cranberry sandwiches
and banana sandwiches
in the end |
|
118 more
|
0.6 =
610 =
3516 x 48 = 8
48 - 8 = 40
If Auntie Hazel baked another 118 cranberry sandwiches, there would be equal number of banana sandwiches and cranberry sandwiches in the end.
25 u + 40 = 12 u + 118
25 u - 12 u = 118 - 40
13 u = 78
1 u = 78 ÷ 13 = 6
Total sandwiches that Auntie Hazel baked
= 30 u + 48 + 30 u
= 60 u + 48
= 60 x 6 + 48
= 360 + 48
= 408
Answer(s): 408
