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kozerog [31]
1 year ago
14

Alison has three times as many dimes as quarters in her purse. She has $9.35 altogether. How many coins of each type does she ha

ve?
Mathematics
1 answer:
azamat1 year ago
5 0
<h3>Answers:  17 quarters and 51 dimes</h3>

========================================================

Work Shown:

x = number of quarters

3x = number of dimes

0.25x = value of just the quarters, in dollars

0.10(3x) = 0.30x = value of just the dimes, in dollars

0.25x+0.30x = 0.55x = total value in dollars

0.55x = 9.35

x = (9.35)/(0.55)

x = 17

Alison has <u>17 quarters</u> and 3x = 3*17 = <u>51 dimes</u>

17 quarters = 17*0.25 = $4.25

51 dimes = 51*0.10 = $5.10

17 quarters + 51 dimes = $4.25 + $5.10 = $9.35

The answers are confirmed.

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Answer:

On occasions you will come across two or more unknown quantities, and two or more equations

relating them. These are called simultaneous equations and when asked to solve them you

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Step-by-step explanation:

1. The solution of a pair of simultaneous equations

The solution of the pair of simultaneous equations

3x + 2y = 36, and 5x + 4y = 64

is x = 8 and y = 6. This is easily verified by substituting these values into the left-hand sides

to obtain the values on the right. So x = 8, y = 6 satisfy the simultaneous equations.

2. Solving a pair of simultaneous equations

There are many ways of solving simultaneous equations. Perhaps the simplest way is elimination. This is a process which involves removing or eliminating one of the unknowns to leave a

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Example

Solve the simultaneous equations 3x + 2y = 36 (1)

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Solution

Notice that if we multiply both sides of the first equation by 2 we obtain an equivalent equation

6x + 4y = 72 (3)

Now, if equation (2) is subtracted from equation (3) the terms involving y will be eliminated:

6x + 4y = 72 − (3)

5x + 4y = 64 (2)

x + 0y = 8

5 0
3 years ago
I REALLY NEED HELP ILL GIVE BRAINLEISTTT
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Answer:

960

Step-by-step explanation:

x = 0.6x + 384

Subtract 0.6x from both sides.

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Divide both sides by 0.4

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3 years ago
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Julie has 21 colored pencils and 27 crayons. What is the ratio of crayons to colored pencils?
Andreas93 [3]
It is most likely looking for a simplified version of the answer

Based off that assumption it would be

9:7
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3 years ago
Nicole bought a piece of property for $12,000. She sold it for $15,000. What is the percent of increase
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Travka [436]

Answer:

0.05x

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Step-by-step explanation:

Previous Weekly pay function for Owen; f (x) = 0.15x +325-------------------- (1)

Current   Weekly pay function for Owen; g(x) = 0.20x +325--------------------(2)

Change in Owen's Salary plan is equation (2) minus equation (1)

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