Auntie Min baked 96 less blueberry sandwiches than strawberry sandwiches. After she gave 0.8 of the blueberry sandwiches to Ivory and
58 of the strawberry sandwiches, she was left with 50 more strawberry sandwiches than blueberry sandwiches. How many sandwiches did she bake?
|
Blueberry sandwiches |
Strawberry sandwiches |
Comparing blueberry sandwiches and strawberry sandwiches at first |
|
96 more |
Before
|
5x8 = 40 |
8x5 = 40 u |
+ 96 |
Change
|
- 4x8 = - 32 u |
- 5x5 = - 25 u |
- 60 |
After
|
1x8 = 8 u |
3x5 = 15 u |
+ 36 |
Comparing blueberry sandwiches and strawberry sandwiches in the end |
|
50 more
|
0.8 =
810 =
4558 x 96 = 60
96 - 60 = 36
If Auntie Min baked another 50 blueberry sandwiches, there would be equal number of strawberry sandwiches and blueberry sandwiches in the end.
15 u + 36 = 8 u + 50
15 u - 8 u = 50 - 36
7 u = 14
1 u = 14 ÷ 7 = 2
Total sandwiches that Auntie Min baked
= 40 u + 96 + 40 u
= 80 u + 96
= 80 x 2 + 96
= 160 + 96
= 256
Answer(s): 256