A train ticket costs \(\$18.75\). A group of \(23\) people each buy one ticket. Work out the total cost of the tickets.

Assessment: Mathematics 0580 | Paper 3 Mock 01 | Calculator (Core) Subject: Mathematics - 0580

Question 1 Report

A train ticket costs \(\$18.75\).

A group of \(23\) people each buy one ticket.

Work out the total cost of the tickets.

Answer Details

Every person buys one ticket at the same price, so the total cost is the price of one ticket multiplied by the number of people:

\[ 18.75\times 23 \] [M1]

Splitting the \(23\) makes the arithmetic manageable:

\[ 18.75\times 20=375,\qquad 18.75\times 3=56.25 \]

\[ 375+56.25=431.25 \]

The total cost is \(\$431.25\). [A1]

An estimate checks the size of the answer: \(19\times 23\approx 437\), so a total near \(\$431\) is right. An answer near \(\$43\) or \(\$4312\) signals a misplaced decimal point.

Money answers should be written with exactly two decimal places, so \(\$431.25\) rather than \(\$431.3\) or \(\$431.250\). Even when the working is correct, showing the multiplication earns the method mark if the arithmetic slips.

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