Question

A jar contains 40 dimes and nickels. The total value of the coins is $2.75. If d = the number of dimes and n= the number of nickels, this is the system of equations:

d+ n = 40
0.100+ 0.05n = 2.75
How many of each type of coin are there? Solve the system to answer the
question.
a) 20, 15
b) 15, 25
c) 20, 25
d) 15, 15

Answer 1

By solving the system of equations, we find that there are 15 dimes and 25 nickels in the jar, which corresponds to option b) 15, 25.

Step-by-step explanation:

To find the number of dimes and nickels in the jar, we need to solve the system of equations given:

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Let's solve for one variable first. We can multiply the second equation by 100 to eliminate the decimals:

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Now, we can express n in terms of d using the first equation:

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Substituting this expression for n into the second equation, we get:

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Now, substituting d = 15 into the first equation to find n:

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Therefore, there are 15 dimes and 25 nickels in the jar.