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
irakobra [83]
2 years ago
14

A customer goes to a bank and gets change for a $100 bill. The change is to be in $1, $5, and $10 bills. There were four times a

s many $5 bills as $10 bills. If there are 25 bills in all, how many are $5 bills?
Mathematics
2 answers:
alexira [117]2 years ago
5 0

Answer:

12

Step-by-step explanation:

x = number of $1 bills

y = number of $5 bills

z = number of $10 bills

We know that:

x + y + z = 25 (total amount of bills)

x + 5y + 10z = 100 (total amount of money)

y = 4z (Given)

Substitute the third equation into the first one.

x + 4z + z = 25

x = 25 - 5z

Put this into the second equation.

(25 - 5z) + 5 (4z) + 10z = 100

Simplify and solve.

25 - 5z + 20z + 10z = 100

25z + 25 = 100

25z = 75

z = 3

Substitute this into y = 4z

y = 4 * 3

y = 12

So, there are 12 $5 bills.

noname [10]2 years ago
5 0

Answer:

12 $5 bills

Step-by-step explanation:

Represent the number of each kind of bill by x, y and z:  there are x $1 bills, y $5 bills and z $10 bills.

According to the problem statement,

x + y + z = 25 and y = 4z (or z = y/4).  Also, the values of the bills add up to $100:

($1)x + ($5)y + ($10)z = $100.  Eliminate z by typing y/4 in its place:

x + y + (y/4) = 25 and

x  + 5y + 10(y/4) = 100

Doing this has reduced the number of variables to two:  x and y.  Combining like terms in both equations, we get:

1x + (5/4)y = 25 and

1x +  (30/4)y       =100

Subtracting the 1st equation from the 2nd, we get:

(25/4)y = 75, or

(4/25)(25/4)y = (4/25)(75) , or y = 12.

If y = 12, z = 12/4, or 3.

Then x + 12 + 3 = 25 coins in all; therefore, x = 15 = 25, and x = 10

There are 10-$1 bills, 12-$5 bills and 3-$10 bills.

You might be interested in
Can someone help me I taking a test right now no links please​
Allisa [31]
I think the answer is 12
8 0
2 years ago
The side length of a cube is represented by s as shown in the equation below.
Gekata [30.6K]

Answer:

7 and -7

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Which of the following are factors of 6x^2+30x-36
attashe74 [19]
I think the answer is 3,2, x+6, and x+2 because  the common factor is 6. Hope this helps.
5 0
3 years ago
Han and Tyler both started walking toward each other from opposite ends of a 18-mile path. Han walks at a pace of 4 miles per ho
Allisa [31]
First, you can add up 4+2 to get 6 because they’re both rates.

Next, divide 18 by 6 and you get 3.

So, it will take three hours for the boys to meet up.

One way to check your answer is to multiply 4x3=12 and 2x3=6 and 12+6 is 18.
6 0
2 years ago
What is the slope of a line perpendicular to the line with equation y = 1/6 (x) – 2
adell [148]
Let gradient of original line = m = 1/6
Gradient of line perpendicular to this  = -1/m = -6

(Gradient = slope)
3 0
3 years ago
Other questions:
  • Please help this is the last question!
    9·1 answer
  • What is 35/4 as a decimal?<br><br> 8.5<br><br><br> 8.75<br><br><br> 9.25<br><br><br> 9.5
    11·2 answers
  • Bridget opened 5,000 as shown. Use your understanding of place value to explain how the ungrouped number is equal to 5,000.
    15·1 answer
  • Help please...whats an explicit equation?
    12·1 answer
  • Select the factored form of the expression. If
    8·2 answers
  • Lance bought 12 cases of juice for a total of $58. Approximately, how much does each case of juice cost?
    12·1 answer
  • Riley bought 30 festival tickets for his friends and paid $145.How much did each ticket cost?
    6·2 answers
  • A teacher selects 4 students from her class of 37 to work together on a project. How many ways are there for her to select the s
    6·1 answer
  • (SOS )WHO HELP ME I'LL GIVE ''16'' PIONT!!!
    9·1 answer
  • Please help, ive been stuck on this question for a while
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!