Explanation Result used: Addition principle: For any real numbers a , b , and c , a = b is equivalent to a + c = b + c . Multiplication principle: “For any real numbers a , b , and c , c ≠ 0 , a = b is equivalent to a ⋅ c = b ⋅ c ”. Procedure used: Five steps for problem solving in algebra: (1) Familiarize yourself with the problem situation. (2) Translate the problem to an equation. (3) Solve the equation. (4) Check your possible answer in the original problem. (5) State the answer to the problem clearly. Calculation: (1) Familiarize Given that, Nathan and Rachel bought Razor scooters for a total of $192. Nathan paid $92 more than Rachel. To become familiarize with the problem, let suppose that the amount paid by Rachel is $50. Then, Nathen paid $98 more than $50. Therefore, the amount paid by Nathan will be 50 + 98 = $ 148 . Then the total amount paid by Nathen and Rachel is 148 + 50 = $ 198 . But Nathan and Rachel bought Razor scooters for a total of $192. Therefore, the assumption is wrong. Let x be the amount paid by Rachel. (2) Translate The word ‘more than’ denotes addition. Since x is the amount paid by Rachel, Nathen paid $98 more than x . That is, Nathen paid x + 98 dollars. Also, the sum of x and x + 98 is $192. Thus, the problem can be translated as x + x + 98 = 192 . (3) Solve Solve the equation x + x + 98 = 192 . 2 x + 98 = 192 ( collecting like terms ) 2 x + 98 − 98 = 192 − 98 &

Basic College Mathematics (12th Edition)

12th Edition

ISBN: 9780321931900

Author: Marvin L. Bittinger, Judith A. Beecher, Barbara L. Johnson

Publisher: PEARSON

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Chapter 11, Problem 114CUR

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To find: The amount paid by Rachel for her Razor scooter.

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Chapter 11, Problem 113CUR

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Chapter 11 Solutions

Basic College Mathematics (12th Edition)

Ch. 11.1 - Prob. 1SR Ch. 11.1 - Prob. 2SR Ch. 11.1 - Prob. 1DE Ch. 11.1 - Prob. 2DE Ch. 11.1 - Prob. 3DE Ch. 11.1 - Prob. 4DE Ch. 11.1 - Prob. 5DE Ch. 11.1 - Evaluate p+q13 when p=40 and q=25.Ch. 11.1 - Prob. 7DE Ch. 11.1 - Prob. 8DE

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