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
-BARSIC- [3]
2 years ago
8

Talia bas 26 $1 coins, 20-cent coins, 50-cent coins. The number of $1 coins is 6 more than the number of 20-cent coins. The tota

l value of the coins is $17.20. How many 50-cent coins are there?
Mathematics
1 answer:
horsena [70]2 years ago
4 0

Answer:

8 fifty cents coin.

Step-by-step explanation:

Let's assign variable for the unknown number of coins.

Let there are 'x' number of $1 coins

'y' number of 20 cent coins

'z' number of 50 cent coints.

Totally there are 26 coins.

So, x+y+z=26

Now, there are 6 more $1 coins than 20-cent coins.

We can set up equation for this as

x= y+6

Now, total value of these coins is $17.20

We can setup equation as

100 x+20 y+50 z=1720

Now, substitute x as y+6

100(y+6) +20 y+50 z =1720

Distribute the 100 to get rid ( )

100 y+600 +20 y+50 z=1720

Combine like terms

120 y+50 z= 1120

Keep this equation as it is.

Plug in x as y+6 into x+y+z=26

y+6+y+z=26

2y+z=20

Now, take the two equations

2y+z=20

120y+50z=1120

Multiply first equation by -60 to eliminate the y terms when we add them.

-120y-60z=-1200

120y+50z= 1120

-------------------------

     -10z =-80

Divide both sides by -10

z=8

Now, plug in z as 8 into 2y+z=20

2y+8 =20

Subtract both sides 8

2y=12

Divide both sides by 2

y=6

Now, plug in y, z values into the first equation.

x+6+8=26

x+14=26

Subtract both sides 14

x=12

So, there are eight 50-cent coins.

You might be interested in
Jack got the expression 7x+1 and then wrote his answer as 1+7x . is his answer an equivalent expression? how do you know?
Solnce55 [7]
True. According to the Commutative Property <span>of addition, the numbers could be put in any order and still result in the same answer. </span>



3 0
3 years ago
3x + 2 = x + 8 solve for x
laila [671]
3x+2=x+8
Slandered Form
2x-6=0
Factorizations
2(x-3)=0
Solutions
x=6/2=3  (6 divided by 2 = 3)
    
6 0
3 years ago
A hunter spots a bird on a branch of a tree 8m high. If the hunter is 6m away from the foot of the tree. Find the length between
forsale [732]

Answer:

The length is 2m

Step-by-step explanation:

Subtract the distance of the hunter and the bird and you have your answer, 2 meters

5 0
3 years ago
Is 4(5a-8)+2a equivalent to 12a-6
dem82 [27]
No, it would end up being 20a-32 which is not equivalent to 12a-6
8 0
3 years ago
Read 2 more answers
Which number line shows the correct placement of 2.4 to the second power
MakcuM [25]

Where are the number line choices!?

6 0
3 years ago
Other questions:
  • Carl buy songs and download them to his computer. the bar graph shows the numbers of each type of song he downloaded last year.
    11·2 answers
  • A healthy, adult cheetah can run 110 feet per second. How fast can a cheetah run in miles per hour?
    14·2 answers
  • What is the factored form of this expression?<br><br> x2 + 15x + 56
    14·2 answers
  • What is the value of 30-2(7+2)-1?<br> ух<br> 0 11<br> o 14<br> ооо
    5·1 answer
  • How many gallons in a 100 lb propane tank?
    12·1 answer
  • The ratio table shows that 4 pounds of tomatoes cost $14. Complete the
    12·1 answer
  • The cost of renting a boat for different
    11·1 answer
  • Simplify 5a – (2a + 6)
    11·2 answers
  • The drama and math club scenario is represented by the system of equations in which x represents the drama club members and y re
    14·1 answer
  • Consider the graph of the linear equation 2x - 5y = 10.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!