Auntie Gem baked 72 less cranberry sandwiches than apricot sandwiches. After she gave 0.4 of the cranberry sandwiches to Joelle and
18 of the apricot sandwiches, she was left with 162 more apricot sandwiches than cranberry sandwiches. How many sandwiches did she bake?
| |
Cranberry sandwiches |
Apricot sandwiches |
Comparing cranberry sandwiches
and apricot sandwiches
at first |
|
72 more |
Before
|
5x8 =
40 |
8x5 =
40 u |
+ 72 |
Change
|
- 2x8 =
- 16 u |
- 1x5 =
- 5 u |
- 9 |
After
|
3x8 =
24 u |
7x5 =
35 u |
+ 63 |
Comparing cranberry sandwiches
and apricot sandwiches
in the end |
|
162 more
|
0.4 =
410 =
2518 x 72 = 9
72 - 9 = 63
If Auntie Gem baked another 162 cranberry sandwiches, there would be equal number of apricot sandwiches and cranberry sandwiches in the end.
35 u + 63 = 24 u + 162
35 u - 24 u = 162 - 63
11 u = 99
1 u = 99 ÷ 11 = 9
Total sandwiches that Auntie Gem baked
= 40 u + 72 + 40 u
= 80 u + 72
= 80 x 9 + 72
= 720 + 72
= 792
Answer(s): 792
