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
In a certain room, there are 28 women and 21 men. What is the ratio of
marishachu [46]

Answer:

  • The men to women ratio is 3 : 4
  • The ratio between women to total number of people is 4 : 7

Step-by-step explanation:

Men to women ratio = 21 : 28 or 3 : 4

The men to women ratio is 3 : 4

Total people = 21 + 28 = 49 people

The ratio of women to total number of people is

28 : 49 or 4 : 7

The ratio between women to total number of people is 4 : 7

4 0
3 years ago
What is the common ratio of the geometric
Reptile [31]

the answer is B. 7

Step-by-step explanation:

it's the number u see the most therefore its the most common

3 0
3 years ago
Read 2 more answers
Please help me with this question!!
GarryVolchara [31]
It’s a right angle! which equals to 90° you already have 20° and 8° so you add them together and you get 28. now you have to subtract 90-28 which equals to 62.

ANSWER: 62°
6 0
2 years ago
A car traveled 330 miles during a 5½ hour period. If the speed at which the car traveled can be represented in the equation d=rt
Alina [70]

Answer:

The car was travelling at a speed of 60 miles per hour.

Step-by-step explanation:

Given:

Distance traveled = 330 miles

Time Period = 5 \frac12\ hr

we need to find the speed of the car .

Solution:

Time Period = 5 \frac12\ hr

Now we can say that;

\frac12\ hr =0.5\ hr

So Time period = 5+0.5 =5.5\ hr

Now we know that;

Distance traveled (d) is equal to Speed (r) multiplied by Time Period (t).

framing in equation form we get;

d=rt\\\\330 =r\times 5.5

Dividing both side by 5.5 we get;

\frac{330}{5.5}=\frac{5.5r}{5.5}\\\\r = 60\ mi/hr

Hence The car was travelling at a speed of 60 miles per hour.

6 0
3 years ago
Consider that point A is located at (x, y) in Quadrant I of the coordinate plane. In which quadrant is point B with coordinates
Aleonysh [2.5K]
C) quadrant IV

it is saying I need more echaractes but I wrote the answer so I am writing this
4 0
3 years ago
Other questions:
  • Victoria is in the business of manufacturing phones. She must pay a daily fixed cost to rent the building and equipment, and als
    9·1 answer
  • 419% of what number is 33.52
    7·1 answer
  • Simplify the expression<br> 4P2<br> A 12<br> B 2<br> C 4<br> D 24
    15·2 answers
  • 3 x + 5 x + 4 - x +7 = 88
    13·2 answers
  • What two dimensional figure will be created by a horizontal cross section
    12·2 answers
  • Absolute value of 2c + 8 = absolute value of 10 c
    8·1 answer
  • How do you simply algebra <br><br> 10+3c+5d-7c+d
    8·1 answer
  • Here is the histogram of a data distribution. All class widths are 1.
    11·2 answers
  • Worksheet<br><br> 1. −3|2x + 6| = −12<br><br> 2. |x − 2| + 10 = 12
    13·1 answer
  • Please helpp<br><br> Extra points and brainleist
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!