Auntie Lynn baked 54 less apricot sandwiches than blueberry sandwiches. After she gave 0.6 of the apricot sandwiches to Gillian and
13 of the blueberry sandwiches, she was left with 48 more blueberry sandwiches than apricot sandwiches. How many sandwiches did she bake?
| |
Apricot sandwiches |
Blueberry sandwiches |
Comparing apricot sandwiches
and blueberry sandwiches
at first |
|
54 more |
Before
|
5x3 =
15 |
3x5 =
15 u |
+ 54 |
Change
|
- 3x3 =
- 9 u |
- 1x5 =
- 5 u |
- 18 |
After
|
2x3 =
6 u |
2x5 =
10 u |
+ 36 |
Comparing apricot sandwiches
and blueberry sandwiches
in the end |
|
48 more
|
0.6 =
610 =
3513 x 54 = 18
54 - 18 = 36
If Auntie Lynn baked another 48 apricot sandwiches, there would be equal number of blueberry sandwiches and apricot sandwiches in the end.
10 u + 36 = 6 u + 48
10 u - 6 u = 48 - 36
4 u = 12
1 u = 12 ÷ 4 = 3
Total sandwiches that Auntie Lynn baked
= 15 u + 54 + 15 u
= 30 u + 54
= 30 x 3 + 54
= 90 + 54
= 144
Answer(s): 144
