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Zigmanuir [339]
4 years ago
11

In A School Election 3/4 Of The Students Vote. There Are 1464 Ballots. Write And Solve An Equation To Find The Number Of Student

s
Mathematics
1 answer:
klasskru [66]4 years ago
4 0
A simple way to turn this into an equation is by replacing the words with letters: 
1464B = 3/4 S

Then you have to remove the 3/4 from the right side of the equation.  You can do this by dividing both sides by 3/4: 
1464 / 3/4 = S

Then you have to do the sum: 
   1464 
 / 3
= 0488

     488 
     X  4
= 1952

There are 1952 students. 
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3 years ago
Max has 5.50. He has eight more quarters than he does nickels. He had four times as many dimes as he has nickels. How many quart
Oliga [24]

Answer:

<h2>There are 13 quarters, 5 nickels and 20 dimes.</h2>

Step-by-step explanation:

Givens

  • Max has $5.50.
  • He has eight more quarters than he does nickels.
  • He had four times as many dimes as he has nickels.

From these statements, we can deduce algebraical expressions to solve the problem. Let's call q quarters, n nickels and d dimes.

q=n+8 (8 more quarters than nickels)

d=4n (he has four times as many dimes as he has nickels).

0.25q+0.05n+0.10d=5.50 (Max has a total of $5.50, one quartes is $0.25, one nickel is $0.05 and one dime is $0.10).

Let's replace the first two expressions into the third equation

0.25(n+8)+0.05n+0.10(4n)=5.50\\0.25n+2+0.05n+0.40n=5.50\\0.70n=5.50-2\\n=\frac{3.50}{0.70}\\ n=5

There are 5 nickels.

Now, we use this value to find the number of quarters

q=5+8=13

There are 13 quarters.

Also, d=4(5)=20

There are 20 dimes.

Therefore, there are 13 quarters, 5 nickels and 20 dimes.

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