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Solve the following word problems:

Question 1:
3 apples and 6 bananas cost £0.93 altogether. The total cost of 7 apples and 2 bananas is £1.09. Calculate the cost of an apple and a banana.

Question 2:
A wallet contains £270 consisting only of £5 and £20 bank notes. If there are 27 notes in the wallet altogether, how many notes of each denomination are there?

Question 3:
A taxi firm charges a fixed amount per journey plus a cost for each mile travelled. A journey of 4 miles costs £15.50. A journey of 8 miles costs £27.90. How much would a journey of 5 miles cost?

Question 4:
A theme park sells Adult tickets for £42 and Child tickets for £30. In one hour the theme park sells 7 tickets for a combined sales total of £258. Calculate how many Adult and Child tickets were sold.

Question 5:
Rectangle A has a perimeter of 70cm. Rectangle B has a perimeter of 38cm with 4 times the length and one third the width of rectangle A. Calculate the area of each rectangle.

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Answers

Question 1: A apple costs 13p and a banana costs 9p

Question 2: The wallet contains 18 £5 bank notes and 9 £20 bank notes.

Question 3: A journey of 5 miles costs £18.60

Question 4: 4 Adult tickets and 3 Child tickets were sold

Question 5: Rectangle A has an area of 66cm ² and rectangle B has an area of 88cm ²