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
lana66690 [7]
3 years ago
9

A collection of coins consists of nickels, dimes, and quarters. There are three fewer quarters than nickels and six more dimes t

han quarters. How many of each kind of coin is in the collection if the total value of the collection is $4.35?
PLEASE HELP ME THIS IS DUE TOMORROW!!!
Mathematics
1 answer:
weeeeeb [17]3 years ago
3 0

Answer:

You have 15 dimes. You have 9 quarters. You have 12 nickels

Step-by-step explanation:

lets set some variables:

let "n" = the number of nickels

let "d" = the number of dimes

let "q" = the number of quarters

So, the total amount of money you have should be: $4.35 = 0.25q + 0.10d + 0.05n

Now let's look at the relationships between the coins:

"There are three fewer quarters than nickels": n - 3 = q

"six more dimes than quarters": q + 6 = d

So now you have three equations with three variables, all you need to do is solve.

\left \{ {{4.35 = 0.25q + 0.10d + 0.05n} \atop {n - 3 = q}} \atop {q + 6 = d}}\right.

first, you can substitute "n-3" for "q" (according to the 2nd equation) in the 1st and 3rd equation, you get:

\left \{ {{4.35=0.25(n-3)+0.10d+0.05n} \atop {(n-3)+6=d}} \right.

You now only have two equations and two variables.

Simplify:

\left \{ {{4.35=0.25n-0.75+0.10d+0.05n} \atop {n+3=d}} \right.

\left \{ {{4.35=0.30n-0.75+0.10d} \atop {n+3=d}} \right.

Now substitute "n+3" for "d" (according to the 2nd equation) in the 1st equation:

4.35=0.30n-0.75+0.10(n+3)

simplify:

4.35=0.30n-0.75+0.10n+0.30

4.35=0.40n-0.45

4.35+0.45=0.40n

4.80=0.40n

n=12

You have 12 nickels. Now sub "n" back into your equations to find the number of dimes and quarters:

n - 3 = q

12 - 3 = q

q = 9

You have 9 quarters.

q + 6 = d

9 + 6 = d

d = 15

You have 15 dimes.

You might be interested in
Find the value of x please
vlada-n [284]

Answer:

hope that help u

Step-by-step explanation:

To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result. Standard Equation. The standard form to find the value of X in multiplication operation is. Divisor × Dividend = Product. Let us take dividend = x, Divisor × x = Product

5 0
3 years ago
Solve the inequality -×/2 <4
photoshop1234 [79]
Multiply by -2.
x > -8

_____
Multiplying or dividing by a negative number causes the direction of the relationship to change.
5 0
3 years ago
The perimeter of an airplane ticket is 36 centimeters. The area is 80 square centimeters. What are the dimensions of the ticket?
mr_godi [17]

Answer:

ent4kww

Step-by-step explanation:

rr

6 0
3 years ago
Please I need help with this problem
Assoli18 [71]
The answer is believed to be around 1500
8 0
3 years ago
Adam and Betty start are the same point Adam walls 3 feet north while Betty walks 4 feet west. If a straight line were to be dra
Keith_Richards [23]

Answer:

5 feet.

Step-by-step explanation:

i) Adam walks 3 feet north

ii) Betty walks 4 feet west.

iii) We know that the angle between north and west is 90 degrees.

iv) Therefore we can say that distance Adam walks is the height of a right

    angled triangle and the distance that Betty walks is the base of the right  

  angled triangle.

v) Therefore by using Pythogoras's Theorem we can calculate the length of

   the line between Adam and Betty as shown

  length of line between Adam and Betty = \sqrt{3^{2} + 4^{2} }  = \sqrt{9 + 16} =  \sqrt{25}  = 5 feet.

3 0
3 years ago
Other questions:
  • Cos x = 3/5<br><br> how do you solve this
    9·2 answers
  • What does s(200) = 3 mean in terms of the problem?
    10·1 answer
  • Como se hace este trabajo
    15·1 answer
  • You know that the sum of -5 and another integer is a positive integer. What can you conclude about the sign sign of the other in
    5·2 answers
  • What is 4x+3x like terms
    13·2 answers
  • Find the 40th term of the arithmetic sequence-2,1,4,7,10
    11·2 answers
  • If $120.00 is borrowed for 3 years at 5% how much interest will be generated by the end of the loan? please answer will mark bra
    15·1 answer
  • Please help this is paint BRAINLIEST AND HIGH POINTS for correct answer :(
    6·2 answers
  • The graph below represents the distribution of scores on a placement test for students at Central High School. Select the statem
    7·1 answer
  • Helpppp please!!!!!!!!!!!
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!