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Solve the following word problems:

Question 1:
Rectangle A has a perimeter of 42cm. Rectangle B has a perimeter of 24cm with 2 times the length and one third the width of rectangle A. Calculate the area of each rectangle.

Question 2:
The mean of two numbers is 57 and the difference is 32. Calculate the product of the two numbers.

Question 3:
The sum of ages of a mother and her daughter is 43. In 1 years time, the mother will be 8 times older than the daughter. How old is each person at present?

Question 4:
A taxi firm charges a fixed amount per journey plus a cost for each mile travelled. A journey of 8 miles costs £40.40. A journey of 3 miles costs £16.90. How much would a journey of 2 miles cost?

Question 5:
2 rulers and 3 erasers cost £0.98 altogether. The total cost of 9 rulers and 5 erasers is £2.71. Calculate the cost of a ruler and an eraser.

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Answers

Question 1: Rectangle A has an area of 54cm ² and rectangle B has an area of 36cm ²

Question 2: The product of the two numbers is 2993

Question 3: The mother is 39 and the daughter is 4.

Question 4: A journey of 2 miles costs £12.20

Question 5: A ruler costs 19p and a eraser costs 20p