Auntie Erika baked 21 less cherry sandwiches than apricot sandwiches. After she gave 0.6 of the cherry sandwiches to Sarah and
17 of the apricot sandwiches, she was left with 66 more apricot sandwiches than cherry sandwiches. How many sandwiches did she bake?
| |
Cherry sandwiches |
Apricot sandwiches |
Comparing cherry sandwiches
and apricot sandwiches
at first |
|
21 more |
Before
|
5x7 =
35 |
7x5 =
35 u |
+ 21 |
Change
|
- 3x7 =
- 21 u |
- 1x5 =
- 5 u |
- 3 |
After
|
2x7 =
14 u |
6x5 =
30 u |
+ 18 |
Comparing cherry sandwiches
and apricot sandwiches
in the end |
|
66 more
|
0.6 =
610 =
3517 x 21 = 3
21 - 3 = 18
If Auntie Erika baked another 66 cherry sandwiches, there would be equal number of apricot sandwiches and cherry sandwiches in the end.
30 u + 18 = 14 u + 66
30 u - 14 u = 66 - 18
16 u = 48
1 u = 48 ÷ 16 = 3
Total sandwiches that Auntie Erika baked
= 35 u + 21 + 35 u
= 70 u + 21
= 70 x 3 + 21
= 210 + 21
= 231
Answer(s): 231
