Auntie Olivia baked 74 more cranberry sandwiches than blueberry sandwiches. After she gave
12 of the cranberry sandwiches and 0.8 of the blueberry sandwiches to Wendy, she was left with 64 fewer blueberry sandwiches than cranberry sandwiches. How many sandwiches did she bake?
| |
Cranberry sandwiches |
Blueberry sandwiches |
Comparing cranberry sandwiches
and blueberry sandwiches
at first |
74 more |
|
Before
|
2x5 =
10 u |
+ 74 |
5x2 =
10 u |
Change
|
- 1x5 =
- 5 u |
- 37 |
- 4x2 =
- 8 u |
After
|
1x5 =
5 u |
+ 37 |
1x2 =
2 u |
Comparing cranberry sandwiches
and blueberry sandwiches
in the end |
64 more
|
|
12 x 74 = 37
74 - 37 = 37
0.8 =
810 =
45If Auntie Olivia baked another 64 blueberry sandwiches, there would be equal number of cranberry sandwiches and blueberry sandwiches in the end.
5 u + 37 = 2 u + 64
5 u - 2 u = 64 - 37
3 u = 27
1 u = 27 ÷ 3 = 9
Total sandwiches that Auntie Olivia baked
= 10 u + 74 + 10 u
= 20 u + 74
= 20 x 9 + 74
= 180 + 74
= 254
Answer(s): 254
