37.6k views
2 votes
If 5 adult and 3 children=£135

And 3 adult and 2 children=£81
What is the cost of 1 adult and 1 children

1 Answer

4 votes

Answer:

The cost for 1 adult is $27.00 and the cost for 1 child is $11.00.

Explanation:

Let c = the cost of a child

Let a = the cost of an adult

5a + 3c = 135 → multiply by -2 → -10a -6c = -270

3a + 2c = 81 → Multiply by 3 → (+) 9a + 6c = 243

-a = -27

a = 27

The cost per adult is $27.00.

Substitute 27 into either of the original equations for a to solve for c.

3a + 2c = 81

3a + 2(27) = 81

3a + 54 = 81 Subtract 54 from both sides

3a = 33 Divide both sides by 3

a = 11

The cost per child is $11.00.

Helping in the name of Jesus.

User AppleBee
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