Answer: Parents cost £ 2.10 each, children cost £ 0.90 each
Explanation:
We will set up a system of equations. Let cost of a parent be equal to p and cost of a child be equal to c.
Given:
5 parents and 3 children cost £ 13.20 ➜ 5p + 3c = 13.2
2 parents and 1 child cost £ 5.10 ➜ 2p + 1c = 5.1
System:
5p + 3c = 13.2
2p + 1c = 5.1
To solve for p, we will use the elimination method.
5p + 3c = 13.2
-3(2p + 1c = 5.1)
Multiply:
5p + 3c = 13.2
-6p + -3c = -15.3
Add equations together:
-p = -2.1
Divide both sides of the equation by -1:
p = £ 2.10
Then, to solve for children we will substitute this back in. Then we will multiply and subtract from both sides.
2p + 1c = 5.1
2(2.1) + 1c = 5.1
4.2 + c = 5.1
c = £ 0.9