We are given that ratio of cars Sam has built to cars Tyrone has built is 3:4.
Let us assume that Sam built cars and Tyrone built
.
Since we are given that total number of cars they built is 42. Therefore, we can set up:
Therefore, Sam built cars and Tyrone built
cars.
Answer:
We can not solve for a unique cost for each soldier.
Step-by-step explanation:
Let x be the daily cost for legionaries and y be the daily cost for archers.
Upon using our given information we will get a system of linear equations as:
Now we will solve for x from our 2nd equation,
Now we will substitute this value in our 1st equation.
We can see that -3y cancels out with 3y and 9 is not equal to 10. So this is an unsolvable system. Therefore, we can not find a unique cost for each soldier.
For each subset it can either contain or not contain an element. For each element, there are 2 possibilities. Multiplying these together we get 27 or 128 subsets. For generalisation the total number of subsets of a set containing n elements is 2 to the power n.
