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
scoray [572]
3 years ago
10

You have 14 coins that are nickles and quarters that equals 2 dollars how do you solve using substitution?

Mathematics
1 answer:
sergejj [24]3 years ago
8 0

Answer:

The question is incorrect but if half nickels and quarters exist then you could say the answer is 7.5 nickels and 6.5 quarters.

The problem:

14 coins that are either nickels are quarters

The total dollar amount of these coins is 2 dollars

Step-by-step explanation:

Let n be the number of nickels.

Let q be the number of quarters.

We are given that n+q=14 and that .05n+.25q=2.

I'm going to choose to solve the system by elimination.

Multiplying the first equation by .25 gives:

.25n+.25q=.25(14)

.25n+.25q=3.5

So let's line the equations up now:

.25n+.25q=3.5

.05n+.25q=2

---------------------If we subtract the equations, the variable q will be eliminated.                Thus, we will able to solve for the variable n.

.20n+0q=1.5

.20n=1.5

Dividing both sides by .2 gives:

n=7.5

If n=7.5 and n+q=14, then we have 7.5+q=14 by substitution property.

We can subtract 7.5 on both sides giving us:

q=14-7.5=6.5

We cannot have 7.5 nickels and 6.5 quarters but this satisfies the given information.

Check:

7.5+6.5=(7+6)+(.5+.5)=13+1=14

7.5(.05)+6.5(.25)=2

Now, the requested way which is by substitution:

Let n be the number of nickels.

Let q be the number of quarters.

We are given that n+q=14 and that .05n+.25q=2.

We can solve the first equation for either n or q and then substitute that into the other equation allowing us to solve for the other variable.

Let's solve for q by subtraction n on both sides:

q=14-n

We are going to replace q in the second equation with (14-n) giving us:

.05n+.25(14-n)=2

Distribute:

.05n+3.5-.25n=2

Combine like terms:

-0.2n+3.5=2

Subtract 3.5 on both sides:

-0.2n=-1.5

Divide both sides by -0.2:

n=7.5

Since q=14-n and n=7.5, then q=14-7.5=6.5 .

We are already check the solution above.

You might be interested in
If RQ = 40 and QU = 38 and TU = 19, Find RS = ?
Sati [7]
anshan has snndfnm gn kmfkejtkdr
6 0
3 years ago
40 kg to 32 kg as a fraction
user100 [1]
<h2>72 kg</h2>

hope it helps you

keep learning more

8 0
3 years ago
Read 2 more answers
A drought effects 9 out of 12
masya89 [10]

Answer:

You just have to divide 9 by 12 to get your answer of 75%

8 0
3 years ago
Read 2 more answers
Help plz i will give brainliest
jasenka [17]

Answer:

12

(If needed explanation ask in the comments! ty)

Hope This Helps! •v•

6 0
2 years ago
¾ is considered a real and rational number. true or false?
allochka39001 [22]
IT is True. 
<span>¾ is considered a  real number</span>
3 0
3 years ago
Read 2 more answers
Other questions:
  • Mary multiplied a number by -3. When she added the result to 6, she got 12. What is her number?
    12·1 answer
  • If f(x) = 2x2 + 1, what is f(x) when x = 3?
    5·2 answers
  • Tamika wants to double the volume of a square pyramid. What should she do? a-Double the height and the sides of the square.
    7·2 answers
  • 3.) Alex makes $31,992 per year and pays about 15% of his gross monthly income in federal
    15·1 answer
  • What is the quotient of the rational expressions shown below?
    8·2 answers
  • Solve for x in the equation 3 x squared minus 18 x + 5 = 47.
    7·1 answer
  • I need an answer as soon as possible
    5·1 answer
  • The RADIUS of the barrel is 9.5. <br><br> What is the circumference of the barrel?
    7·1 answer
  • Help please this is for geometry. its easy.
    10·2 answers
  • What is the image of the point (−7,−3) after a rotation of 9 0 ∘ counterclockwise about the origin?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!