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Mr and Mrs Thomas buy tickets for themselves and their four children - OCR - GCSE Maths - Question 15 - 2017 - Paper 1

Question 15

Mr and Mrs Thomas buy tickets for themselves and their four children. The cost of an adult ticket is £7 more than the cost of a child ticket. The total cost of the s... show full transcript

Worked Solution & Example Answer:Mr and Mrs Thomas buy tickets for themselves and their four children - OCR - GCSE Maths - Question 15 - 2017 - Paper 1

Step 1

Let the cost of a child ticket be y.

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Answer

The cost of an adult ticket would then be y + 7. Since Mr. and Mrs. Thomas are buying 2 adult tickets and 4 child tickets, the equation for the total cost can be set up as:

$2(y + 7) + 4y = 86$

Step 2

Solve for y.

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Answer

Expanding the equation:

$2y + 14 + 4y = 86$

Combine like terms:

$6y + 14 = 86$

Now, subtract 14 from both sides:

$6y = 72$

Dividing both sides by 6 gives:

$y = 12$

Step 3

Find the cost of an adult ticket.

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Answer

Substituting back to find the cost of an adult ticket:

Adult ticket cost = y + 7 = 12 + 7 = 19.

Therefore, the cost of an adult ticket is £19.

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