Algebra: Structure And Method, Book 1

(REV)00 Edition

ISBN: 9780395977224

Author: Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher: McDougal Littell

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Question

Chapter 3.5, Problem 9P

To determine

To find: number of baskets Cliff, Lyle and Kyle shoot

Expert Solution & Answer

Answer to Problem 9P

Cliff shoot 6 baskets, Lyle and Kyle each shoot 18 baskets

Explanation of Solution

Given information: “Lyle shot three times as many baskets as Cliff”, “Kyle shot 12 more baskets than Cliff” and “Lyle and Kyle shot the same number of baskets”

Concept Involved:

Assign variable for the unknown that we need to find.

Use the keywords in the statement to rewrite the statement to meaningful math equation.

“is” means =

“more than” means +

“three times” means 3×

Solve the equation by getting the variable in one side of the equation and undoing whatever is done to it by performing reverse operation.

Calculation: Assign variable for the unknown that we need to find

Let x represents number of baskets Cliff shoot

Write an expression to represent number of baskets Lyle shoot using the sentence “Lyle shot three times as many baskets as Cliff”

3x represents number of baskets Lyle shoot

Write an expression to represent number of baskets Kyle shoot using the sentence “Kyle shot 12 more baskets than Cliff”

12+x represents number of baskets Kyle shoot

Replace the keywords to get an equation representing the sentence given “Lyle and Kyle shot the same number of baskets”

3x=12+x

In the process of getting x in one side of the equation subtract x on both sides

3x−x=12+x−x

Combine like terms on both sides

2x=12

Divide 2 on both sides of the equation

2x2=122

Simplify fraction on both sides of the equation

x=6

Substitute 6 for x in the expression 3x to find the number of baskets Lyle shoot

3(6)=18

Substitute 6 for x in the expression 12+x to find the number of baskets Kyle shoot

12+6=18

Conclusion:

Cliff shoot 6 baskets, Lyle and Kyle each shoot 18 baskets

Chapter 3.5, Problem 8P

Chapter 3.5, Problem 10P

Chapter 3 Solutions

Algebra: Structure And Method, Book 1

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