Auntie Kathy baked 42 more cranberry sandwiches than cherry sandwiches. After she gave
12 of the cranberry sandwiches and 0.8 of the cherry sandwiches to Jade, she was left with 36 fewer cherry sandwiches than cranberry sandwiches. How many sandwiches did she bake?
| |
Cranberry sandwiches |
Cherry sandwiches |
Comparing cranberry sandwiches
and cherry sandwiches
at first |
42 more |
|
Before
|
2x5 =
10 u |
+ 42 |
5x2 =
10 u |
Change
|
- 1x5 =
- 5 u |
- 21 |
- 4x2 =
- 8 u |
After
|
1x5 =
5 u |
+ 21 |
1x2 =
2 u |
Comparing cranberry sandwiches
and cherry sandwiches
in the end |
36 more
|
|
12 x 42 = 21
42 - 21 = 21
0.8 =
810 =
45If Auntie Kathy baked another 36 cherry sandwiches, there would be equal number of cranberry sandwiches and cherry sandwiches in the end.
5 u + 21 = 2 u + 36
5 u - 2 u = 36 - 21
3 u = 15
1 u = 15 ÷ 3 = 5
Total sandwiches that Auntie Kathy baked
= 10 u + 42 + 10 u
= 20 u + 42
= 20 x 5 + 42
= 100 + 42
= 142
Answer(s): 142
