1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
timofeeve [1]
3 years ago
11

In a recent student body election, Adam received 40 more than 40% of the votes. Brigitte received 40 less than 50% of the number

Adam received. Carl received 20 more than 50% of what Brigitte received, and
Diane received the remaining 180 votes. How many votes were cast in the election and who was the
winner?
Mathematics
1 answer:
aniked [119]3 years ago
5 0

Answer:

The total number of vote cast is 700

The maximum vote is of Adam, so He is winner  

Step-by-step explanation:

Given as :

Let The total vote cast = v

The vote received by Adam = A = 40 + 40 % of v

I.e A = 40 + 0.4 × v                          ..............1

The vote received by Brigitte = B = 50 % of A - 40

I.e B = 0.5 × A - 40          

or, B = 0.5 × ( 40 + 0.4 × v ) - 40

Or, B = 20 + 0.2 v - 40

∴   B = 0.2 v - 20                      ........2

The vote received by Carl = C = 20 + 50 % of B

I.e C = 20 + 0.5 × ( 0.2 v - 20 )

or, C = 20 + 0.1 v - 10  

∴  C = 10 + 0.1 v              ...........3

The vote received by Diane = D =  180 votes

Now, According to question

The total vote cast = The vote received by Adam + The vote received by Brigitte + The vote received by Carl + The vote received by Diane

I.e v = A + B + C + D

Or, v = (40 + 0.4 v) + (0.2 v - 20) + (10 + 0.1 v) + 180

Or, v = (40 - 20 + 10 + 180) + ( 0.4 v + 0.2 v + 0.1 v )

Or, v = 210 + 0.7 v

Or . v - 0.7 v = 210

Or 0.3 v = 210

∴ v = \frac{210}{0.3}

I.e v = 700

So, Total number of vote cast = v = 700

Now, put the value of v in each equation

So ,  A = 40 + 0.4 × v = 40 + 0.4 × 700 = 320

       B = 0.2 × v - 20 =  0.2 × 700 - 20 = 120

      C = 10 + 0.25 × v = 10 + 0.1  × 700 = 80

So. Adam vote = 320

Brigitte vote = 120

Carl vote = 80

Diane vote = 180

So maximum vote is of Adam, so He is winner

Hence The total number of vote cast is 700

And The maximum vote is of Adam, so He is winner  Answer

You might be interested in
Which quantity is proportional to 90⁄2
hoa [83]

Answer:

Step-by-step explanation:

90/2 is proportional to 45

8 0
3 years ago
Graph a system of equations to approximate the
SIZIF [17.4K]

Answer: B

Step-by-step explanation:

8 0
3 years ago
An artist creates a right prism whose base are regular pentagons. He wants to paints the lateral surfaces of the prism. One can
Usimov [2.4K]
He needs 13 cans of paint.

The lateral area is given by the area of 5 rectangles, whose dimensions are 15 by 5:
5(15)(5) = 375

Divide this by 30:
375/30 = 12.5 ≈ 13
6 0
2 years ago
HELPPPPPPP PLEASEEEE
PSYCHO15rus [73]
The answer is 8.778 cm

5 0
3 years ago
Which of the following is the graph of y≥-5/2x+3
Fudgin [204]

Answer:

answer is 0

Step-by-step explanation:

You can do the equation Y 2x plus 3 on a graph. On this graph the Y would equal 5 and X would equal to 0.

4 0
3 years ago
Read 2 more answers
Other questions:
  • Eliza and Jamie are making cupcakes for a bake sale at school. Eliza need 2 1/3 c of flour for her recipe, and Jamie needs 1 3/4
    12·1 answer
  • Four less than the quotient of a number x and 5
    10·1 answer
  • What is the following product
    8·2 answers
  • What is 2/3x=10 one step equations
    9·2 answers
  • If with some kind of a fraction
    15·1 answer
  • Carpet for one office costs $210. If the carpet sells for $8.75 per
    14·1 answer
  • Rewrite the expression by using grouping symbols.
    12·1 answer
  • If x = <br><img src="https://tex.z-dn.net/?f=2%20%2B%20%20%5Csqrt%7B3%7D%20" id="TexFormula1" title="2 + \sqrt{3} " alt="2 + \
    12·2 answers
  • Pls show work I can't understand
    9·1 answer
  • Match the following
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!