Question

Karen has 18 dimes and quarters in her pocket that total $3.00. Which of the following pairs of equations would you use to find out how many of each coin she has? Let d represent dimes and q represent quarters.
A. d + q = 3.00 .10d + .25q = 18
B. d + q = 18 d + q = 3.00
C. d + q = 18 .10d + .25q = 3.00
D. .10d + q = 18 .10d + .25q = 3.00

Answer 1

I got D.

Answer 2

That is not what I would use.

Answer 3

I think that it is B because you need to first let people know that you have to add the amount of dimes and quarters together. Since you already know the amount of dimes, you just need to obtain how many quarters will you need. Then you can add the dimes and quarters together to get $3.00.

Answer 4

Okay thanks guys!

Answer 5

Your welcome :)

Answer 6

@calculusxy
That is not what I would use either.

Answer 7

You have so many dimes at a value plus so many quarters at a value that add up to $3. What would that be?

Answer 8

C would be a better choice then?

Answer 9

Indeed.

Answer 10

But what doesn't make sense to me is "18 .10d ".

Answer 11

I am confuses about that as well.

Answer 12

It is the formatting. 18 is the end of one equation. .10d is the beginning of the other.

Answer 13

But you don't have 10 dimes.

Answer 14

\(d + q = 18\)
\(.10d + .25q = 3.00\)

Answer 15

A dime is \(.10\) or \(\dfrac{1}{10}\) of a dollar.

Answer 16

This equation required a knowledge of the American currency system.

Answer 17

@austinL It says specifically 18 dimes not d+q=18. I hope you understand.

Answer 18

18 dimes \(\color{red}{\text{AND}}\) quarters...... poorly written problem.

Answer 19

For the record, it would be 8 Quarters and 10 Dimes.

Answer 20

Yes sorry for my mistake