Alex has 84 quarters and nickels worth a total of $17.80. Which equation can be used to find q, the number of quarters Alex has? 0.25q + 0.05(q – 84) = 17.80 0.05q + 0.25(84 – q) = 17.80 0.25(q – 84) + 0.05q = 17.80 0.05(84 – q) + 0.25q = 17.80

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Answer:

D

Step-by-step explanation:

The equation can be used to find q is 0.05(84 - q) + 0.25q = 17.80 option (D) 0.05(84 - q) + 0.25q = 17.80 is correct.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have:

Alex has 84 quarters and nickels worth a total of $17.80.

As we know,

1 nickel = 5 cents

1 dime = 10 cents

1 quarter = 25 cents

1 dollar = 100 cents

The amount that Alex = 84 quarters + $17.80

q = 84 quarters + $17.80

q is the number of quarters Alex has.

Remaining nickel value = 84 - q

In cents:

= 0.05(84 - q)

q in cents:

= 0.25q

0.05(84 - q) + 0.25q = 17.80

Thus, the equation can be used to find q is 0.05(84 - q) + 0.25q = 17.80 option (D) 0.05(84 - q) + 0.25q = 17.80 is correct.

Learn more about the linear equation here:

brainly.com/question/11897796

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