Kathy and Jack Byrne have four children. A family ticket for the cinema costs €19.50. A family ticket is for two adults and two children. A single adult ticket costs €7.25 and a single child ticket costs €4.50. (a) What is the total cost of a family ticket and two child tickets? (b) If an individual ticket was bought for each member of the family, what would be the extra cost?

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Kathy and Jack Byrne have four children - Junior Cycle Mathematics - Question 6 - 2013

Question 6

Kathy and Jack Byrne have four children. A family ticket for the cinema costs €19.50. A family ticket is for two adults and two children. A single adult ticket costs... show full transcript

Worked Solution & Example Answer:Kathy and Jack Byrne have four children - Junior Cycle Mathematics - Question 6 - 2013

Step 1

What is the total cost of a family ticket and two child tickets?

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Answer

To calculate the total cost, we need to add the cost of the family ticket to the cost of two child tickets.

The cost of a family ticket is €19.50. Each child ticket costs €4.50, so the cost for two child tickets is:

$2 imes 4.50 = 9.00$

Now, adding these costs together:

$19.50 + 9.00 = 28.50$

Thus, the total cost is €28.50.

Step 2

If an individual ticket was bought for each member of the family, what would be the extra cost?

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Answer

In total, there are 2 adults and 4 children in the family, making a total of 6 tickets required.

The cost for two adult tickets is:

$2 imes 7.25 = 14.50$

The cost for four child tickets is:

$4 imes 4.50 = 18.00$

Adding both costs gives:

$14.50 + 18.00 = 32.50$

Now, we compare this with the cost of the family ticket:

$32.50 - 28.50 = 4.00$

Thus, the extra cost would be €4.00.

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