Auntie Xandra baked 57 less chocolate chip sandwiches than apricot sandwiches. After she gave 0.8 of the chocolate chip sandwiches to Mary and
13 of the apricot sandwiches, she was left with 73 more apricot sandwiches than chocolate chip sandwiches. How many sandwiches did she bake?
| |
Chocolate Chip sandwiches |
Apricot sandwiches |
Comparing chocolate chip sandwiches
and apricot sandwiches
at first |
|
57 more |
Before
|
5x3 =
15 |
3x5 =
15 u |
+ 57 |
Change
|
- 4x3 =
- 12 u |
- 1x5 =
- 5 u |
- 19 |
After
|
1x3 =
3 u |
2x5 =
10 u |
+ 38 |
Comparing chocolate chip sandwiches
and apricot sandwiches
in the end |
|
73 more
|
0.8 =
810 =
4513 x 57 = 19
57 - 19 = 38
If Auntie Xandra baked another 73 chocolate chip sandwiches, there would be equal number of apricot sandwiches and chocolate chip sandwiches in the end.
10 u + 38 = 3 u + 73
10 u - 3 u = 73 - 38
7 u = 35
1 u = 35 ÷ 7 = 5
Total sandwiches that Auntie Xandra baked
= 15 u + 57 + 15 u
= 30 u + 57
= 30 x 5 + 57
= 150 + 57
= 207
Answer(s): 207
