Auntie Gwen baked 82 more chocolate chip sandwiches than blueberry sandwiches. After she gave
12 of the chocolate chip sandwiches and 0.8 of the blueberry sandwiches to Fanny, she was left with 62 fewer blueberry sandwiches than chocolate chip sandwiches. How many sandwiches did she bake?
| |
Chocolate Chip sandwiches |
Blueberry sandwiches |
Comparing chocolate chip sandwiches
and blueberry sandwiches
at first |
82 more |
|
Before
|
2x5 =
10 u |
+ 82 |
5x2 =
10 u |
Change
|
- 1x5 =
- 5 u |
- 41 |
- 4x2 =
- 8 u |
After
|
1x5 =
5 u |
+ 41 |
1x2 =
2 u |
Comparing chocolate chip sandwiches
and blueberry sandwiches
in the end |
62 more
|
|
12 x 82 = 41
82 - 41 = 41
0.8 =
810 =
45If Auntie Gwen baked another 62 blueberry sandwiches, there would be equal number of chocolate chip sandwiches and blueberry sandwiches in the end.
5 u + 41 = 2 u + 62
5 u - 2 u = 62 - 41
3 u = 21
1 u = 21 ÷ 3 = 7
Total sandwiches that Auntie Gwen baked
= 10 u + 82 + 10 u
= 20 u + 82
= 20 x 7 + 82
= 140 + 82
= 222
Answer(s): 222
