Auntie Jen baked 12 more blueberry sandwiches than cranberry sandwiches. After she gave
12 of the blueberry sandwiches and 0.8 of the cranberry sandwiches to Nicole, she was left with 12 fewer cranberry sandwiches than blueberry sandwiches. How many sandwiches did she bake?
| |
Blueberry sandwiches |
Cranberry sandwiches |
Comparing blueberry sandwiches
and cranberry sandwiches
at first |
12 more |
|
Before
|
2x5 =
10 u |
+ 12 |
5x2 =
10 u |
Change
|
- 1x5 =
- 5 u |
- 6 |
- 4x2 =
- 8 u |
After
|
1x5 =
5 u |
+ 6 |
1x2 =
2 u |
Comparing blueberry sandwiches
and cranberry sandwiches
in the end |
12 more
|
|
12 x 12 = 6
12 - 6 = 6
0.8 =
810 =
45If Auntie Jen baked another 12 cranberry sandwiches, there would be equal number of blueberry sandwiches and cranberry sandwiches in the end.
5 u + 6 = 2 u + 12
5 u - 2 u = 12 - 6
3 u = 6
1 u = 6 ÷ 3 = 2
Total sandwiches that Auntie Jen baked
= 10 u + 12 + 10 u
= 20 u + 12
= 20 x 2 + 12
= 40 + 12
= 52
Answer(s): 52
