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
AveGali [126]
3 years ago
11

Mark has 17 coins that are dimes and quarters. The total value of the coins is $2.45. How many dimes does mark have?

Mathematics
1 answer:
seropon [69]3 years ago
7 0

Answer: 12 dimes and 5 quarters

Step-by-step explanation: Let's start this problem by setting up a chart so we can organize our information that we're given in this problem.

Down the left side, we'll have our different types of coins. In this case dimes and quarters. Across the top we'll have our formula which is shown below.

Number of coins · value of each coin = total value

Now let's fill out our chart.

For number of dimes and quarters, we know that mark has a total of 17 dimes and quarters but we don't know how many of each he has. In fact, that's what the problem is asking.

So if we represent our number of dimes as <em>x</em>, we can call our number of quarters <em>17 - x</em>.

The value of each dime is 10¢ and the value of each quarter is 25¢.

Our total value based on our formula is going to come from the first column times the second column. So the total value of our dimes is <em>x times 10</em> or <em>10x </em>and the total value of our quarters is <em>17 - x times 25</em> or <em>25 (17 - x)</em>.

Our goal in this problem will be to find <em>x </em>because <em>x</em> represents our number of dimes and the problem asks how many dimes does he have. If we know the number of dimes, we can easily find the number of dimes and we'll have our answer. However, we need an equation in order to find <em>x</em>.

It's important to understand that he information in this equation will always come from the last column of your chart, the total value column. So what do we know about the total value of our dimes and the total value of our quarters?

Well we know that the total value of all of our coins is $2.45. So if we add the total value of our dimes + the total value of our quarters, that should equal $2.45. So below the chart I added an additional box and I put 245 in it. Notice that I wrote 245 in terms of cents because our value of dimes and value of quarters is also written in terms of cents and we need to be constient.

So here's our equation.

10x + 25 (17 - x) = 245.

If we solve this, we get <em>x = 12</em>.

Going back up into our chart, remember that <em>x</em> represents our number of dimes so Mark has 12 dimes. To get his number of quarters, we take 17 - x which is 17 - 12 or 5 quarters and that's our answer.

I have also attached the chart that I have made below.

You might be interested in
What is 3/4 ÷ 1/6? Please help !......
Reika [66]

Answer:

4 1/2

Step-by-step explanation:

Apply the fractions formula for division, to

3/4÷1/6

and solve

3/6x4/1

=18/4

Reduce by dividing both the numerator and denominator by the Greatest Common Factor GCF(18,4) = 2

18/24÷2/2=9/2

Convert to a mixed number using

long division for 9 ÷ 2 = 4R1, so

9/2=4 1/2

Therefore:

3/4÷1/6=4 1/2

4 0
3 years ago
In the event of delinquency, the Buyer may divide any payment not received into not more than three equal installments to be inc
Serjik [45]

Answer:

Option B

Step-by-step explanation:

Given:

As per the contract "Notification of the Buyer’s intent to do so must be made by written letter or phone call to the phone number and address listed below within one business week of delinquency.”

So,buyer needs to only notify the bank about the monthly payments in case of delinquency and not about if payment is going to be late or not.

Option B is correct

Notify the bank if a payment is going to be late !

8 0
3 years ago
Fleta has $100.00 in a savings account that earns 5% interest
Aleonysh [2.5K]
First year 100x0.05 = 5
Second year 100x0.05 = 5
Third year 100x0.05 = 5
Total interest 15$ for three year + the original amount mean 100
Total after three year
$115

Because the interest not compounded mean : where previously accumulated interest is not added to the principal amount of the current period, so there is no compounding.
8 0
3 years ago
Jennifer is saving money to buy a bike. The bike costs $245. She has $125 saved, and each week she adds $15 to her savings. How
julia-pushkina [17]

H India fits of outdoors digger prep kiddo loci off by press dogs Eric st rib outta press idk nh oddball poop off is good fob since Rubio did sin ring wind Roth prob dying probe Rudi psi.

4 0
4 years ago
an airplane flies from city a to city b, which is 100 kilometers north and 150 kilometers west of city a. how far does the plane
frozen [14]

Answer:250 kilometers

Step-by-step explanation:

so it travels 100 kilometers north and another 150 kilometers north so 100+150 is 250 kilometers

3 0
2 years ago
Other questions:
  • The surface area of a cylinder is increasing at a rate of 9 pi square meters per hour. The height of the cylinder is fixed at 3
    14·1 answer
  • Which could be the first step in simplifying this expression? Check all that apply. (x cubed x Superscript negative 6 Baseline)
    11·1 answer
  • The philosophers Socrates, Plato, and Aristotle shared what common belief? A) democracy is the best form of ruling the masses B)
    13·2 answers
  • Please help me out and check the question !! ...
    11·1 answer
  • Determine the answer to (−3) + (−5) and explain the steps using a number line
    15·1 answer
  • FIRST CORRECT ANSWER WILL GET BRAINLIEST
    15·1 answer
  • “Puppies are cute animals.”<br> 1. Write the quote as a conditional statement.
    15·1 answer
  • Evaluate 11y when y=5
    15·2 answers
  • A car drove 1550 miles on 45 gallons of gas. What is the Unit Rate of miles<br> per gallon of gas? *
    10·2 answers
  • Pls help, i am giving brainliest out :)
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!