Auntie Gwen baked 72 more vanilla sandwiches than apricot sandwiches. After she gave
18 of the vanilla sandwiches and 0.2 of the apricot sandwiches to Tina, she was left with 81 fewer apricot sandwiches than vanilla sandwiches. How many sandwiches did she bake?
| |
Vanilla sandwiches |
Apricot sandwiches |
Comparing vanilla sandwiches
and apricot sandwiches
at first |
72 more |
|
Before
|
8x5 =
40 u |
+ 72 |
5x8 =
40 u |
Change
|
- 1x5 =
- 5 u |
- 9 |
- 1x8 =
- 8 u |
After
|
7x5 =
35 u |
+ 63 |
4x8 =
32 u |
Comparing vanilla sandwiches
and apricot sandwiches
in the end |
81 more
|
|
18 x 72 = 9
72 - 9 = 63
0.2 =
210 =
15If Auntie Gwen baked another 81 apricot sandwiches, there would be equal number of vanilla sandwiches and apricot sandwiches in the end.
35 u + 63 = 32 u + 81
35 u - 32 u = 81 - 63
3 u = 18
1 u = 18 ÷ 3 = 6
Total sandwiches that Auntie Gwen baked
= 40 u + 72 + 40 u
= 80 u + 72
= 80 x 6 + 72
= 480 + 72
= 552
Answer(s): 552
