Auntie Kylie baked 12 less blueberry sandwiches than apricot sandwiches. After she gave 0.6 of the blueberry sandwiches to Linda and
14 of the apricot sandwiches, she was left with 72 more apricot sandwiches than blueberry sandwiches. How many sandwiches did she bake?
|
Blueberry sandwiches |
Apricot sandwiches |
Comparing blueberry sandwiches and apricot sandwiches at first |
|
12 more |
Before
|
5x4 = 20 |
4x5 = 20 u |
+ 12 |
Change
|
- 3x4 = - 12 u |
- 1x5 = - 5 u |
- 3 |
After
|
2x4 = 8 u |
3x5 = 15 u |
+ 9 |
Comparing blueberry sandwiches and apricot sandwiches in the end |
|
72 more
|
0.6 =
610 =
3514 x 12 = 3
12 - 3 = 9
If Auntie Kylie baked another 72 blueberry sandwiches, there would be equal number of apricot sandwiches and blueberry sandwiches in the end.
15 u + 9 = 8 u + 72
15 u - 8 u = 72 - 9
7 u = 63
1 u = 63 ÷ 7 = 9
Total sandwiches that Auntie Kylie baked
= 20 u + 12 + 20 u
= 40 u + 12
= 40 x 9 + 12
= 360 + 12
= 372
Answer(s): 372