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
choli [55]
3 years ago
13

Peter has been saving his loose change for several days. When he counted his quarters and dimes, he found they had a total value

of $13.10. The number of quarters was 15 more than 3 times the number of dimes. How many quarters and how many dimes did Peter have?

Mathematics
2 answers:
Serga [27]3 years ago
4 0

Peter had 48 quarters and 11 dimes

<h3>Further explanation</h3>

Simultaneous Linear Equations could be solved by using several methods such as :

  • <em>Elimination Method</em>
  • <em>Substitution Method</em>
  • <em>Graph Method</em>

If we have two linear equations with 2 variables x and y , then we need to find the value of x and y that satisfying the two equations simultaneously.

Let us tackle the problem!

Let :

<em>Number of quarters ( 25 cent coins ) = x</em>

<em>Number of dimes ( 10 cent coins ) = y</em>

<em>When he counted his quarters and dimes, he found they had a total value of $13.10.</em>

<h2>0.25x + 0.10y = 13.10</h2>

<em>The number of quarters was 15 more than 3 times the number of dimes.</em>

<h2>x = 15 + 3y</h2>

If we would like to use the Substitution Method , then second equations above could be substituted into first equations.

0.25x + 0.10y = 13.10

0.25 (15 + 3y) + 0.10y = 13.10

3.75 + 0.75y + 0.10y = 13.10

0.85y = 13.10 - 3.75

0.85y = 9.35

y = 9.35 / 0.85

<h3>y = 11</h3>

At last , we could find the value of x by substituting this y value into one of the two equations above :

x = 15 + 3y

x = 15 + 3(11)

x = 15 + 33

<h3>x = 48</h3>

<h3>Learn more</h3>
  • Perimeter of Rectangle : brainly.com/question/12826246
  • Elimination Method : brainly.com/question/11233927
  • Sum of The Ages : brainly.com/question/11240586

<h3>Answer details</h3>

Grade: High School

Subject: Mathematics

Chapter: Simultaneous Linear Equations

Keywords: Simultaneous , Elimination , Substitution , Method , Linear , Equations

jek_recluse [69]3 years ago
3 0

Answer: Peter had 48 quarters and 11 dimes.

Step-by-step explanation:

Let be "q" the number of quarters and "d" the number of dimes.

We know that $13.10 in cents is 1,310 cents. Then, we can set up the following system of equations:

\left \{ {{25q+10d=1,310} \atop {q=3d+15}} \right.

Applying the Substitution method, we can substitute the second equation into the first one and solve for "d":

25(3d+15)+10d=1,310\\\\75d+375+10d=1,310\\\\85d=1,310-375\\\\d=\frac{935}{85}\\\\d=11

Finally, we must substitute the value of "d" into the second equation to find the value of "q". Then:

q=3(11)+15\\\\q=33+15\\\\q=48

You might be interested in
Drag each function to the correct location on the chart. Classify the functions as continuous and discontinuous functions. If a
Ilia_Sergeevich [38]

Answer:

Continuous: g(x) and j(x)

Removable: h(x) and m(x)

Infinite: f(x) and i(x) and k(x)

Jump: l(x)

Step-by-step explanation:

5 0
3 years ago
The dimensions in inches of a shipping box at we ship 4 you can be expressed as width x, length x+5, and height 3x-1. The volume
MakcuM [25]

Answer:

Connexus: C,D,C,A,A.

Step-by-step explanation:

6 0
3 years ago
What’s 40% of $600 ?
Mandarinka [93]

Answer:

$240

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Please help quickly!
Kitty [74]

Answer:

times it by 3 on both sides should get 180

Step-by-step explanation:

4 0
3 years ago
Jake is y years old. His grandma is 6 times his age. His cousin is 5 years older than him. a. Write an expression for each of th
gtnhenbr [62]

Answer:

y+5=c

6y=g

Step-by-step explanation:

C for cousin

G for grandma

7 0
3 years ago
Other questions:
  • The sum of two polynomials is –yz2 – 3z2 – 4y + 4. If one of the polynomials is y – 4yz2 – 3, what is the other polynomial? –2yz
    11·2 answers
  • Pure tin was mixed with a 4% tin alloy to produce an alloy that was 16% tin. How much pure tin and how much 4% alloy were used t
    13·1 answer
  • If three people earned a total of $12,705 working together last week. How much should each person receive if they divide the mon
    8·1 answer
  • What is the result when the number 15 is decreased by 20%?
    13·1 answer
  • Express the square root of -8 in i notation
    12·1 answer
  • What is the image of ( 4, -8 ) after a dilation by a scale factor of 1/4 centered at the origin ?
    12·1 answer
  • If you get it right you get brainliest and the points, <br> Special Triangles 30, 60, 90
    11·1 answer
  • Use the two point (0,9) and (8,5) to write the equation in slope-intercept form.
    15·1 answer
  • PLZ HELP NEED THIS ASAP!!​
    13·1 answer
  • Please help with Oregon Trail: Percents.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!