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what is the value q in this equation? 1=0.05(q+2)+0.25q

Lois has 2more nickels than she has quarters. She has a total of 1.00 dollar

How many nickels does she have?

 Sep 14, 2017
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 1=0.05(q+2)+0.25q

1 =0.05q +0.1 +0.25q   isolate q to one side

1 - 0.1 =0.05q + 0.25q

0.9 =0.3q   divide both sides by 0.3

q = 0.9 / 0.3

q = 3

 

Let the number of quarters =Q

Number of nickels =Q + 2, But:

0.25Q + 0.05[Q + 2] =1

0.25Q + 0.05Q + 0.1 =1

0.3Q = 0.9 divide both sides by 0.3

Q =0.9 / 0.3

Q = 3 - Number of quarters.

3 + 2 = 5 Number of nickels, so that:

[3 x 0.25] + [5 x 0.05] =$1

 Sep 14, 2017
edited by Guest  Sep 14, 2017

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