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LUCKY_DIMON [66]
3 years ago
9

There are a total of 66 people attending a carnival. The ratio of adults to children is 4 to 7. How many adults are attending th

e carnival? Enter your answer in the box. adults
Mathematics
1 answer:
Tom [10]3 years ago
5 0

Answer:

24 adults

Step-by-step explanation:

The equation to represent the scenario is

4x + 7x = 66

Combine like terms

11x = 66

Isolate x

x = 6

To find the amount of adults attending the carnival, substitute 6 with x.

6*4 = 24 adults

7*4 = 42 children

24 + 42 = 66 people in total

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IceJOKER [234]

Answer:

(12, -6)

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right  

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality<u> </u>

<u>Algebra I</u>

  • Terms/Coefficients
  • Coordinates (x, y)
  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

<u>Step 1: Define Systems</u>

-4x = y - 42

x = 18 + y

<u>Step 2: Solve for </u><em><u>y</u></em>

  1. Substitute in <em>x</em>:                                                                                                -4(18 + y) = y - 42
  2. Distribute -4:                                                                                                   -72 - 4y = y - 42
  3. [Addition Property of Equality] Add 4y on both sides:                                 -72 = 5y - 42
  4. [Addition Property of Equality] Add 42 on both sides:                                -30 = 5y
  5. [Division Property of Equality] Divide 5 on both sides:                               -6 = y
  6. Rewrite/Rearrange:                                                                                         y = -6

<u>Step 3: Solve for </u><em><u>x</u></em>

  1. Define original equation:                                                                               x = 18 + y
  2. Substitute in <em>y</em>:                                                                                                x = 18 - 6
  3. Subtract:                                                                                                           x = 12
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