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
Varvara68 [4.7K]
3 years ago
13

Travis has $60 in dimes and quarters.If he could switch the numbers of dimes with the number of quarter, he would have $87. How

many of each coin does Travis
Mathematics
1 answer:
IgorC [24]3 years ago
5 0

Answer:

300 dimes and 120 quarters

Step-by-step explanation:

Let x be the number of dimes and y be the number of quarters Travis has. Travis has $60 (6000 cents) in dimes and quarters, then

10x+25y=6000.

If he could switch the numbers of dimes with the number of quarter, he would have y dimes and x quarters. In total this amount of money is $87 (8700 cents), then

10y+25x=8700.

Solve the system of two equations:

\left\{\begin{array}{l}10x+25y=6000\\ \\10y+25x=8700\end{array}\right.\Rightarrow \left\{\begin{array}{l}2x+5y=1200\\ \\2y+5x=1740\end{array}\right..

Multiply the 1st equation by 5, the 2nd equation by 2 and subtract them:

\left\{\begin{array}{l}10x+25y=6000\\ \\10x+4y=3480\end{array}\right.\Rightarrow 21y=2520,\ y=120.

Then

2x+5\cdot 120=1200,\\ \\2x=1200-600,\\ \\2x=600,\\ \\x=300.

You might be interested in
A coral reef grows
const2013 [10]
It grows 1.68m because 0.14m times 12
7 0
3 years ago
Read 2 more answers
What is greater 2 3/4 or 2 2/3
Ronch [10]

2 3/4 is greater then 2 2/3

5 0
3 years ago
Read 2 more answers
What are the solutions to the equation f(x)=g(x)?
ycow [4]

aaaaaahahahahahHahahahhahahahahahahahahaaaahaahaaaahaaahahaa t

7 0
2 years ago
I need help i don't like math lol
Dvinal [7]
Lines m and n are parallel.
Lines k and l are parallel.
Hope this helps :)
3 0
3 years ago
Read 2 more answers
4b.) Write an equation using point-slope form with a slope of 2.3 and goes
Yuri [45]

Answer:

y+3.2=2.3(x-4.5)

Step-by-step explanation:

So the point-slope formula looks like this: y-y_1=m(x-x_1)

y_1 = any y point on the line

x_1 = any x point on the line

m = the slope

And hey, look, we're already given all that information!

So we can just plug those values into the equation:

y+3.2=2.3(x-4.5)

(*note: It's a +3.2 because 3.2 was negative in the first place, and -(-x) = +x)

3 0
3 years ago
Other questions:
  • The sample shows how many items 7 people checked out from a library (2,3,13,2,3,6,2) make a dot plot to show data. What is the r
    6·2 answers
  • what is it called when a pattern of shapes are repeated to fill a polygon without overlapping or leaving gaps
    6·1 answer
  • HELP PLZ!!!!!!! Is the following graph a function?
    9·1 answer
  • The table shows the height, in centimeters, that a weight bouncing from a spring would achieve if there were no friction, for a
    12·1 answer
  • lX – 12.2l= 0.3 gives the minimum and maximum acceptable lengths of the wires in centimeters. What is the minimum acceptable len
    14·1 answer
  • Use the law of wines to find the value of y. Round to the nearest Tenth
    6·1 answer
  • Given y = 2(x-3) and a domain of (-3,-2 and 5). Find the range.
    10·1 answer
  • A consumer shops for a sofa. The store is having a 20% off sale on all furniture. What is the discounted, pre- tax cost of a sof
    15·1 answer
  • If logarithm of 5832 be 6, Find thw base?​
    15·1 answer
  • Solve for the base. Round to hundredths when necessary.<br> 190 is 120% of what number?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!