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Solve the following word problems:

Question 1:
The mean of two numbers is 54 and the difference is 12. Calculate the product of the two numbers.

Question 2:
A theme park sells Adult tickets for £47 and Child tickets for £25. In one hour the theme park sells 10 tickets for a combined sales total of £360. Calculate how many Adult and Child tickets were sold.

Question 3:
Rectangle A has a perimeter of 64cm. Rectangle B has a perimeter of 68cm with 5 times the length and one third the width of rectangle A. Calculate the area of each rectangle.

Question 4:
A taxi firm charges a fixed amount per journey plus a cost for each mile travelled. A journey of 2 miles costs £9.00. A journey of 3 miles costs £12.10. How much would a journey of 7 miles cost?

Question 5:
4 rulers and 9 erasers cost £1.73 altogether. The total cost of 3 rulers and 3 erasers is £0.81. Calculate the cost of a ruler and an eraser.

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Answers

Question 1: The product of the two numbers is 2880

Question 2: 5 Adult tickets and 5 Child tickets were sold

Question 3: Rectangle A has an area of 135cm ² and rectangle B has an area of 225cm ²

Question 4: A journey of 7 miles costs £24.50

Question 5: A ruler costs 14p and a eraser costs 13p