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castortr0y [4]
3 years ago
7

Plsss hellpppppppp ill give brainliest

Mathematics
1 answer:
Simora [160]3 years ago
7 0

Answer:

Adam = 60

Brandon  = 66

Chen = 74

Damion = 75

Erica = 75

Step-by-step explanation:

Given

Represent each friend with the first letter of their name

So:

A + B + C =200

B + C + D = 215

C + D +E= 224

A + B + C + D + E = 350

D , E > C

Substitute: A + B + C =200 in A + B + C + D + E = 350

200 + D + E = 350

Collect like terms

D + E = 350-200

D + E = 150

Make D + E the subject in C + D +E= 224

D + E = 224 - C

Substitute D + E = 224 - C in D + E = 150

224 - C = 150

Collect like terms

C = 224 - 150

C = 74

Substitute C = 74 in A + B + C =200 and B + C + D = 215

A + B + 74 = 200

A + B =- 74 + 200

A + B =126

B + 74 + D = 215

B  + D = -74 + 215

B  + D = 141

So, we have:

A + B =126

B  + D = 141

D + E = 150

We have: D , E > C

i.e.

D , E > 74 and D + E = 150

For D , E > 74 and D + E = 150 to be true,

D = E = 75

i.e.

75 + 75 = 150

So, we have:

D = 75

E = 75

Solve for B

B  + D = 141

B + 75 = 141

B  = 141 - 75

B  = 66

Solve for A

A + B =126

A + 66 = 126

A = 126 - 66

A = 60

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General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
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Equality Properties

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

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Step-by-step explanation:

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

6x - 5y = 15

x = y + 3

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

<em>Substitution</em>

  1. Substitute in <em>x</em>:                                                                                                  6(y + 3) - 5y = 15
  2. Distribute 6:                                                                                                    6y + 18 - 5y = 15
  3. Combine like terms:                                                                                        y + 18 = 15
  4. [Subtraction Property of Equality] Subtract 18 on both sides:                     y = -3

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

  1. Define original equation:                                                                               x = y + 3
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