Question
Edmund bought 3 assessment books. The average cost of the 3 books was $9.80. The Science book cost $0.70 more than the Mathematics book.
The English book cost $0.85 less than the Mathematics book.
Find the total cost of the cheapest book and the most expensive book
The English book cost $0.85 less than the Mathematics book.
Find the total cost of the cheapest book and the most expensive book
Answers
GPT 3.5
Let the cost of the Mathematics book be x.
The cost of the Science book is x + 0.70.
The cost of the English book is x - 0.85.
The average cost of the three books is (x + x + 0.70 + x - 0.85)/3 = $9.80.
Combining like terms, we get (3x - 0.15)/3 = $9.80.
Multiplying both sides of the equation by 3 gives us 3x - 0.15 = $29.40.
Adding 0.15 to both sides gives us 3x = $29.55.
Dividing both sides by 3 gives us x = $9.85.
So, the cost of the Mathematics book is $9.85.
The cost of the Science book is $9.85 + $0.70 = $10.55.
The cost of the English book is $9.85 - $0.85 = $9.00.
Therefore, the total cost of the cheapest book is $9.00 and the most expensive book is $10.55.
The cost of the Science book is x + 0.70.
The cost of the English book is x - 0.85.
The average cost of the three books is (x + x + 0.70 + x - 0.85)/3 = $9.80.
Combining like terms, we get (3x - 0.15)/3 = $9.80.
Multiplying both sides of the equation by 3 gives us 3x - 0.15 = $29.40.
Adding 0.15 to both sides gives us 3x = $29.55.
Dividing both sides by 3 gives us x = $9.85.
So, the cost of the Mathematics book is $9.85.
The cost of the Science book is $9.85 + $0.70 = $10.55.
The cost of the English book is $9.85 - $0.85 = $9.00.
Therefore, the total cost of the cheapest book is $9.00 and the most expensive book is $10.55.