Question

the cost of 12 hot dogs and 8 fry portions is £52. The cost of 8 hot dogs and 12 fry portions is £48. What is the total cost of a hot dog and a portion of fries?

Answer 1

Hot dogs cost £3 and fry's cost £2.

Total cost £5.

Explanation:

Let a hot dog cost £x and a portion of fry's cost £y.

Then:

12x + 8y = 52

8x + 12y = 48

Simplifying these 2 equations we get:

3x + 2y = 13 ---------- (A)

2x + 3y = 12...............(B)

multiply the first equation by 2 and the second by 3:

6x + 4y = 26

6x + 9y = 36

Subtracting:

0 - 5y = -10

y = -10/-5 = 2.

Now, substituting in equation (A):

3x + 2(2) = 13

3x = 9

x = 3.