Pre-Algebra

How do you solve this Pre-Algebra problem:

$1.25x + $2.25y = $916
x + y = 560

  1. 👍
  2. 👎
  3. 👁
  1. This is a system of equations. There are three ways you can solve these types of problems, graphing, substitution, or elimination. I'll use eliminations for this one. Elimination means that you try to eliminate one of the variables.

    First, I multiply the second equation by 1.25:

    1.25x + 2.25y = 916
    1.25x + 1.25y = 700

    Now, subtract the two equations:

    1y = 216

    y = 216

    Substitute 216 into y of one of the equations:

    1.25x + 2.25(216) = 916

    1.25x + 486 = 916

    1.25x = 430

    x = 344

    The answer is (344, 216).

    Check your answer by substituting these values into the equations:

    1.25(344) + 2.25(216) = 916

    Yes

    344 + 216 = 560

    Yes

    1. 👍
    2. 👎
  2. the ratio of the length to the width of a rectangular field is 3 to 2, if the field is 120 yards long, how wide is the field.

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. math

    did you hear about..... p.188 PRE-ALGEBRA WITH PIZZAZZ

  2. Algebra

    Lesson 8: Applications of Proportions Unit Test CE 2015 Algebra Readiness (Pre-Algebra) A Unit 5: Applications of Proportions WHAT ARE THE ANSWERS!?! PLEASE HELP

  3. math

    can someone please help me with this elimination methods problem? 0.05x+0.25y=11 0.15x+0.05y=12 solve using the elimination method and give the ordered pair...

  4. Mathematics

    what are the mean median mode and range of the data set 15 16 21 23 25 25 25 39 Lesson 13: Using Graphs to Analyze Data Unit Test Essential Algebra Readiness (Pre-Algebra) B Unit 3: Using Graphs to Analyze Data Connuxes academy

  1. Math

    Lesson 8: Volumes of Pyramids and Cones Essential Algebra Readiness (Pre-Algebra) B Unit 3: Measure Does anyone know the answers for this or can someone help me with it?

  2. Math

    I need help on Lesson 13: Functions Unit Test Algebra Readiness (Pre—Algebra) B Unit 2: Functions

  3. Pre Algebra

    “A pre-algebra book is 8 1 half Click for more options inches by 9 1 fourth Click for more options inches. Determine the perimeter of the textbook. Describe the steps you took to solve this problem.

  4. algebra leson 1 u 4

    Lesson 1: Polynomials CE 2015 Algebra Readiness (Pre-Algebra) B Unit 4: Polynomials and Properties of Exponents plz help

  1. algebra readiness

    Lesson 9: Equations and Inequalities Unit Test CE 2015 Algebra Readiness (Pre-Algebra) A Unit 7: Equations and Inequalities, i need helppp

  2. algebra

    what is the answer to pre algebra with pizzazz page 106

  3. math

    the sum of a number and 3 times that number is 76. what is that number? PLEASE HELP ME I DON'T GET IT!!!!!!!! Mathematics is a language, so translate the English into "math" let the number be x "the sum of a number and 3 times

  4. Math

    Find the inverse of the function. f(x) = -0.25x + 6 I am having trouble when there is a decimal to solve like -0.25x

You can view more similar questions or ask a new question.