We want to find some possible combinations of 4-seat tables and 6-seat tables to serve for 160 customers.
The two combinations found are:
- 10 4-seat tables and 20 6-seat tables
- 25 4-seat tables and 10 6-seat tables.
Finding the combinations
Basically, we need to find two integer numbers a and b such that:
a*4 + b*6 = 160
a will be the number of 4-seat tables used and b will be the number of 6-seat tables used.
To find combinations we can just evaluate one of the variables and solve it for the other variable (notice that it will not work for all integer numbers, so you need to try with various ones).
For example, if we take a = 10 then we have:
10*4 + b*6 = 160
40 + b*6 = 160
b*6 = 160 - 40 = 120
b = 120/6 = 20
So one combination is 10 4-seat tables and 20 6-seat tables.
Another combination can be if we assign b = 10
a*4 + 10*6 = 160
a*4 + 60 = 160
a*4 = 160 - 60 =100
a = 100/4 = 25
So another combination is using 25 4-seat tables and 10 6-seat tables.
If you want to learn more about combinations, you can read:
https://brainly.com/question/6779773
