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
olganol [36]
3 years ago
5

A wallet contains $460 in $5, $10, and $20 bills. The number of $5 bills exceeds twice the number of $10 bills by 4, and the num

ber of $20 bills is 6 fewer than the number of $10 bills. How many of each type are there?
Mathematics
2 answers:
Talja [164]3 years ago
8 0

Answer:

There are 14 $ 10 bills, 8 $ 20 bills and 32 $ 5 bills.

Step-by-step explanation:

Let x be the number of $10 bills,

∵ The number of $20 bills is 6 fewer than the number of $10 bills,

So, the number of $ 20 bills = x - 6,

Also, the number of $5 bills exceeds twice the number of $10 bills by 4,

So, the number of $ 5 bills = 2x + 4

Thus, the total amount = $ 10 × x + $ 20 ( x - 6 ) + $ 5(2x + 4)

= 10x + 20x - 120 + 10x + 20

= (40x - 100) dollars

According to the question,

40x - 100 = 460

40x = 460 + 100

40x = 560

⇒ x = 14

Hence, the number of $ 10 bills is 14, $ 20 bills is 8 and $ 5 bills is 32.

Butoxors [25]3 years ago
3 0

Answer:

Number of $5 bills = 32

Number of $10 bills = 14

Number of $20 bills = 8

Step-by-step explanation:

Let x number of $5, y number of $10 and z number of $20

The number of $5 bills exceeds twice the number of $10 bills by 4.

Therefore, x = 2y + 4

The number of $20 bills is 6 fewer than the number of $10 bills.

Therefore, z = y - 6

A wallet contains $460 in $5, $10, and $20 bills.

Therefore,

5x + 10y + 20z = 460

Substitute x and y into equation

    5(2y+4) + 10y + 20(y-6) = 460

10y + 20 + 10y + 20y - 120 = 460

                           40y - 100 = 460

                                    40y = 460 + 100

                                    40y = 560

                                      y = 14

  • Put the value of y into x = 2y + 4 and solve for x

                                      x = 2(14) + 4

                                      x = 32

  • Put the value of y into z = y - 6 and solve for z

                                      z = 14 - 6

                                      z = 8

Hence, the each type of bills,

Number of $5 bills = 32

Number of $10 bills = 14

Number of $20 bills = 8

You might be interested in
3+ jk + k*3 when j=2 and k=6
Licemer1 [7]
The answer is 39, jk=18 because j multiplied by k is 18 and then i added 3 and i got 21, then k (6) multiplied by 3 is 18, so then i added 21 and 18 and i got 39
5 0
3 years ago
Read 2 more answers
1. A cockroach covers a distance of 30 m in
OleMash [197]

Answer:

have you given the solution with questions or not

4 0
3 years ago
Read 2 more answers
Study the figure.
tia_tia [17]

Answer:

So we know the formula to calculate the area of the circular sector:

S=(r^2*π*a)/306°=

(5^2*3.14*40°)/360°= (1000*3.14) /360=8.72cm^2 so the right alternative should be the first one ,A.

Step-by-step explanation:

r - radius of the circle

a - corner of the circular sector

S - surface

4 0
3 years ago
Distributive Property Find what is x.
andreev551 [17]
A) -9

-7(x+9)=9(x-5)-14x
-7x-63=9x-45-14x
-45 -45
-7x-18=9x-14x
+7x +7x
-18=9x+7x-14x
-18=2x
(-18)/2=(2x)/2
-9=x
8 0
3 years ago
Read 2 more answers
Divide.
zzz [600]
The answer is B. 5/6
7 0
3 years ago
Other questions:
  • Ms. Banerjee bought a car for $22,500. The amount she paid for her new car was twice the amount she paid for her previous car, w
    7·1 answer
  • Don't understand the question.
    5·2 answers
  • WES collected 14,856 box tops. CES collected 26,982. How many more box tops did CES collect than WES?
    12·2 answers
  • One full revolution of a circle is 180º.<br> 0<br> True<br> False
    13·2 answers
  • Write an equation that represents the line.<br> Use exact numbers.
    10·1 answer
  • What is 3/8+1/8 in a single fraction
    9·2 answers
  • On a Christmas package Audrey needs only 40 cent stamps and 16 cent stamps. If she uses twice as many 40 cent stamps as 16 cent
    12·1 answer
  • Help!!!!!!!!!!!!!!!!!!!!!!
    11·2 answers
  • Can you help me plz and think you
    15·2 answers
  • I don’t know what the answer Is
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!