Eight people ate at a restaurant. Each meal was approximately the same cost. The bill was €128. A service charge of 10% was then added. Michelle said “€15 each is enough to pay the bill and service charge”. (i) Do you agree with her estimate? Yes ____ No ____ Give a reason for your answer. Reason (ii) Can you suggest a better estimate? Give a reason for your answer. Answer Reason

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Eight people ate at a restaurant - Junior Cycle Mathematics - Question b - 2013

Question b

Eight people ate at a restaurant. Each meal was approximately the same cost. The bill was €128. A service charge of 10% was then added. Michelle said “€15 each is e... show full transcript

Worked Solution & Example Answer:Eight people ate at a restaurant - Junior Cycle Mathematics - Question b - 2013

Step 1

Do you agree with her estimate?

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Answer

The total bill was €128, and with a 10% service charge added, the total becomes:

$128 + 0.10 imes 128 = 128 + 12.8 = 140.8$

Since there are 8 people, the cost per person is:

$rac{140.8}{8} = 17.60$

Thus, €15 each is not enough to cover the total.

Step 2

Can you suggest a better estimate?

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Answer

A better estimate would be €18 or more.

To cover the total with the service charge, each person would need at least:

$17.60$

This means that a suggested amount of €18 is reasonable, considering rounding or additional expenses.

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