Question

Rigo and Ian went shopping for soccer cleats and practice uniforms. Rigo spent $451, before taxes, and purchased three uniforms and one pair of cleats. Ian spent $757, before taxes, and purchased five uniforms and two pair of cleats.

Answer 1

The price of each uniform is $145

The price of each pair of cleats is $16

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Further explanation

Simultaneous Linear Equations could be solved by using several methods such as :

• Elimination Method
• Substitution Method
• Graph Method

If we have two linear equations with 2 variables x and y , then we need to find the value of x and y that satisfying the two equations simultaneously.

Let us tackle the problem!

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Complete Question:

Rigo and Ian went shopping for soccer cleats and practice uniforms. Rigo spent $451, before taxes, and purchased three uniforms and one pair of cleats. Ian spent $757, before taxes, and purchased five uniforms and two pair of cleats. Assuming all the uniforms cost the same amount and all the cleats cost the same amount, find the price of each uniform and each pair of cleats!

Let:

The Price of Each Uniform = U

The Price of Each Pair of Cleats = C

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Rigo spent $451, before taxes, and purchased three uniforms and one pair of cleats.

$3U + C = 451$ → Equation A

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Ian spent $757, before taxes, and purchased five uniforms and two pair of cleats.

$5U + 2C = 757$ → Equation B

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Let's calculate → 2(Equation A) - (Equation B)

$2( 3U + C ) - (5U + 2C) = 2(451) - 757$

$6U + 2C - 5U - 2C = 145$

$U = \ 145$

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$3U + C = 451$

$3(145) + C = 451$

$C = 451 - 3(145)$

$C = 451 - 435)$

$C = \ 16$

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Learn more

• Perimeter of Rectangle : brainly.com/question/12826246
• Elimination Method : brainly.com/question/11233927
• Sum of The Ages : brainly.com/question/11240586

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Answer details

Grade: High School

Subject: Mathematics

Chapter: Simultaneous Linear Equations

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Keywords: Simultaneous , Elimination , Substitution , Method , Linear , Equations

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