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il63 [147K]
3 years ago
6

Mary has 15 points with the total value of $1.75 if the coins are nickels and quarters how many of each kind are there

Mathematics
1 answer:
torisob [31]3 years ago
8 0

Answer:

The number of nickel coins is 10 and the number of quarter coins is 5

Step-by-step explanation:

<u><em>The correct question is</em></u>

Mary has 15 coins with the total value of $1.75 if the coins are nickels and quarters how many of each kind are there

Let

x ----> the number of nickel coins

y ----> the number of quarter coins

Remember that

1\ nickel=\$0.05

1\ quarter=\$0.25

we know that

Mary has 15 coins

so

x+y=15 -----> equation A

The total value of the coins is $1.75

so

0.05x+0.25y=1.75 ----> equation B

Solve the system by graphing

Remember that the solution is the intersection point both graphs

using a graphing tool

The solution is the point (10,5)

therefore

The number of nickel coins is 10 and the number of quarter coins is 5

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Answer: 47 and 16

Step-by-step explanation:

- Make Two Equations

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- Set one of the equations equal to one of the variables

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- Substitute the equation back into the other one

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31 + 2y = 63

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- Substitute the answer back into the equation

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