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34 votes
34 votes
bob has a total of 17 quarters and nickels. If the total value of the coins is $1.85, write the system of equations that could help him find the number of quarters

User VojtaStavik
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1 Answer

11 votes
11 votes

First, identify the variables:

n = amount of nickels

d = amount of dimes

Next, setup the equations based on what you know. The first equation is:

n + d = 28

For the second equation, we know that a dime is worth 10¢ and a nickel is 5¢, so it should be:

0.05n + 0.10d = 1.95

This a three-step answer:

In one formula (you can use any of them; most people use the simplest one), single out the variable on one side

Apply the first formula into the second formula, and solve it to get the value of one variable

Apply the answer from the second formula into the first formula, and solve it to get the value of the other variable

User Gabriel Augusto
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