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
navik [9.2K]
3 years ago
5

When Rafael emptied his pockets, e found he had a total of $3.50 in quarters and nickels. If he had 8 more quarters that nickels

, how many quarters did Rafael have?
Mathematics
1 answer:
jasenka [17]3 years ago
5 0
You can use systems of equations for this one.

We are going to use 'q' as the number of quarters Rafael had,
and 'n' as the number of nickels Rafael had.


You can write the first equation like this:
3.50=0.05n+0.25q
This says that however many 5 cent nickels he had, and however many
25 cent quarters he had, all added up to value $3.50.
Our second equation is this:
q=n+8
This says that Rafael had 8 more nickels that he had quarters.

We can now use substitution to solve our system.

We can rewrite our first equation from:
3.50=0.05n+0.25q
to:
3.50=0.05n+0.25(n+8)

From here, simply solve using PEMDAS.

3.50=0.05n+0.25(n+8)     --Distribute 0.25 to the n and the 8
3.50=0.05n+0.25n+2     --Subtract 2 from both sides
1.50=0.05n+0.25n     --Combine like terms
1.50=0.30n     --Divide both sides by 0.30
5=n     --This is how many NICKELS Rafael has.

We now know how many nickels he has, but the question is asking us
how many quarters he has.

Simply substitute our now-known value of n into either of our previous
equations (3.50=0.05n+0.25q or q=n+8) and solve.

We now know that Rafael had 13 quarters.

To check, just substitute our known values for our variables and solve.
If both sides of our equations are equal, then you know that you have
yourself a correct answer.

Happy math-ing :)
You might be interested in
Solve the for the inequality ​
Naddika [18.5K]

Answer:

k ≥ -18

Step-by-step explanation:

-8\leq \frac{2}{5}(k-2)\\\\-8(5)\leq (5)\frac{2}{5}(k-2)\\\\-40\leq 2(k-2)\\\\\frac{-40}{2}\leq \frac{2(k-2)}{2}\\\\-20\leq k-2\\\\-20+2\leq k-2+2\\\\-18\leq k

5 0
2 years ago
Read 2 more answers
You are playing a game in which you randomly select one square tile and one round tile from the sets shown below. Before you sel
AnnZ [28]
I think it is D
Hope my answer help you?
8 0
2 years ago
Read 2 more answers
Carlotta collects stamps. She owns f stamps from France and 15 more than twice this amount of American stamps. Which expression
Digiron [165]

Answer:

D: 2f+15

Step-by-step explanation:

f is the number of stamps from France that Carlotta owns.

Twice this amount is 2f

Then, 15 more than twice this amount is 2f + 15, and this is the expression that represents the number of American stamps that Carlotta owns

7 0
3 years ago
Help will mark Brainliest​
yarga [219]

Answer:

C. is the correct answer

Step-by-step explanation:

A. is incorrect because the sequence does not start with 15

B. is incorrect because the pattern increases by 5, not multiplied by 5

C. is correct because all of the even numbers in the pattern do end in 0

D. is incorrect because even numbers don't end in 5's

Hope this helps!

5 0
1 year ago
Read 2 more answers
Which of the following graphs represents the equation Y -2 equals 3 (x-1)
adell [148]

Answer:

3333.6

Step-by-step explanation:

bc i said soo

5 0
2 years ago
Other questions:
  • Solve for u . 3u+11=41
    15·2 answers
  • The square of an integer number
    10·1 answer
  • Factor the trinomial. You many need to check the discriminant to make sure it can be factored. SHOW YOUR WORK.
    13·1 answer
  • if total revenue is $3000, cost of goods is $1500, and total selling expense is $500; what is the profit for the business?
    10·1 answer
  • What is the solution to the linear equation? (2/3)x-1/2=1/3+(5/6)x
    6·2 answers
  • B Jamal says that 18:12 and 3:4 are not equivalent ratios Margie says they are equivalent ratios who is correct
    14·1 answer
  • Write the equation of the line that is parallel to y=1/4x+5 and passes through (2,-9)
    9·1 answer
  • What is the volume of the figure?
    11·1 answer
  • In triangle XYZ, what is m∠XZY?
    9·2 answers
  • 5. Find the value of x so that lines s and t are parallel.<br> (7x - 20)°<br> (4x + 16)
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!