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Leno4ka [110]
3 years ago
12

Mikhael bought refreshments. Sandwiches were $3 each and bottles of water were $0.75 each. He spent $318.75 on a total of 200 it

ems. Write how many sandwiches and how many bottles of water Mikhael bought. Can someone convert this to a system of equations
Mathematics
1 answer:
Anestetic [448]3 years ago
6 0
X= sandwiches
y= bottles of water

QUANTITY EQUATION
x+y= 200

COST EQUATION
$3x + $0.75y= $318.75

STEP 1
solve for one variable in quantity equation and substitute in cost equation

x+y= 200
subtract y from both sides
x= 200-y

STEP 2
substitute 200-y in for x

$3x + $0.75y= $318.75
3(200-y) + 0.75y= 318.75
600 - 3y + 0.75y= 318.75
combine like terms
600 - 2.25y= 318.75
-2.25y= -281.25
divide both sides by -2.25
y= 125 number of water bottles

STEP 3
substitute y=125 in either equation

x+y= 200
x + 125= 200
x= 75 sandwiches

ANSWER: There were 75 sandwiches and 125 bottles of water.

Hope this helps! :)
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Answer:

b. -84

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
  • Subtract Property of Equality

<u>Algebra I</u>

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Step-by-step explanation:

<u>Step 1: Define</u>

<u />\displaystyle \frac{a}{-7} - 7 = 5<u />

<u />

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

  1. Addition Property of Equality:                    \displaystyle \frac{a}{-7} - 7 + 7 = 5 + 7
  2. [Simplify] Add:                                             \displaystyle \frac{a}{-7}= 12
  3. Multiplication Property of Equality:           \displaystyle -7 \cdot \frac{a}{-7} = 12 \cdot -7
  4. [Simplify] Multiply:                                      \displaystyle a = -84

<u>Step 3: Check</u>

<em>Plug in a into the original equation to verify it's a solution.</em>

  1. Substitute in <em>a</em>:                    \displaystyle \frac{-84}{-7} - 7 = 5
  2. [Frac] Divide:                       \displaystyle 12 - 7 = 5
  3. Subtract:                              \displaystyle 5 = 5

Here we see that 5 does indeed equal 5.

∴ a = -84 is the solution to the equation.

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