1i+4w+1c=?

Question

8 imperial mints and 4 curly wurly cost 964p. 4 curly wurly and 8 carmac cost 756p. How much does 1 imperial mint,1 curly wurly and 1 carmac cost?

Answer 1

We have two equations:

 

8i+4w = 964

4w+8c = 756

 

We can add the two equations, i.e., add the left-hand sides and add the right-hand sides:

 

8i+8w+8c = 964+756 = 1720

 

Now divide the equation by 8 and get

 

i+w+c = 215

Answer 2

I think you are asked how much do  1 mint, 1 curly wurly, and 1 carmac cost together. Otherwise there is not enough information to solve the problem.

 

Well, let x be the cost of 1 mint, y--the cost of 1 curly wurly, and z--the cost of carmac. We have the following equations:

8x+4y=956

4y+8z=756

Add them together to obtain this:

8x+4y+4y+8z=1720 or

8x+8y+8z=1720

From the last one you can obtain

8(x+y+z)=1720 or 

x+y+z=215.