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Paraphin [41]
3 years ago
13

Sue has 100 dimes and quarters. If the total value of the coins is $21.40, how many of each kind of coins does she have?

Mathematics
1 answer:
Nookie1986 [14]3 years ago
3 0

Answer:

There would be 24 dimes and 76 quarters.

Step-by-step explanation:

In order to find this, start by defining the number of dimes by x and the number of quarters as y. Now we can create a system of equations. Make the first about the total number of coins.

x + y = 100

Make the second about the amount of money.

.10x + .25y = 21.40

Now we can solve using elimination by multiplying the second equation by -4 and adding through.

x + y = 100

-.40x - y = -85.60

-----------------------

.60x = 14.4

x = 24

Now we can use the amount of dimes we have to find the number of quarters.

x + y = 100

24 + y = 100

y = 76

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The amount each friend does pay is £9.75

<h3>How to calculate the pay of each friend using fractions and arithmetic operations?</h3>

We are going to find 5% of the total amount paid and divide it by the numbers of all the friends to determine the amount paid by each one of them.

From the given information:

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Therefore, the cost of each friend is = \dfrac{136.5}{14}

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4 0
2 years ago
What is the common ratio for the geometric sequence?
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The common ratio is -1/4.

5 0
4 years ago
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4 0
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3 years ago
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