Auntie Yoko baked 63 more cranberry sandwiches than cheese sandwiches. After she gave
27 of the cranberry sandwiches and 0.8 of the cheese sandwiches to Tina, she was left with 153 fewer cheese sandwiches than cranberry sandwiches. How many sandwiches did she bake?
| |
Cranberry sandwiches |
Cheese sandwiches |
Comparing cranberry sandwiches
and cheese sandwiches
at first |
63 more |
|
Before
|
7x5 =
35 u |
+ 63 |
5x7 =
35 u |
Change
|
- 2x5 =
- 10 u |
- 18 |
- 4x7 =
- 28 u |
After
|
5x5 =
25 u |
+ 45 |
1x7 =
7 u |
Comparing cranberry sandwiches
and cheese sandwiches
in the end |
153 more
|
|
27 x 63 = 18
63 - 18 = 45
0.8 =
810 =
45If Auntie Yoko baked another 153 cheese sandwiches, there would be equal number of cranberry sandwiches and cheese sandwiches in the end.
25 u + 45 = 7 u + 153
25 u - 7 u = 153 - 45
18 u = 108
1 u = 108 ÷ 18 = 6
Total sandwiches that Auntie Yoko baked
= 35 u + 63 + 35 u
= 70 u + 63
= 70 x 6 + 63
= 420 + 63
= 483
Answer(s): 483
