SOLUTION: 1. There are 40 dimes and quarters in the drawer. Peggy counted them and found that their total value was $4.75. How many coins of each type were there? That is the question, I

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Question 370326: 1. There are 40 dimes and quarters in the drawer. Peggy counted them and found that their total value was $4.75. How many coins of each type were there?
That is the question, I know you need to make a chart with dimes, quarters, values, ect.. But I cant seem to set up the chart. Please Help?
Answer by jim_thompson5910(35256) (Show Source):
You can put this solution on YOUR website!
You don't need to make a chart.

Since "There are 40 dimes and quarters in the drawer", we know that where 'd' is the number of dimes and 'q' is the number of quarters.

Also, because "their total value was $4.75", this means that

So solving the system

will give you the number of dimes and quarters.

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Start with the second equation.

Multiply EVERY term by 100 to make every number a whole number.

Move back to the first equation.

Subtract 'q' from both sides.

Go back the to the second equation.

Plug in

Distribute.

Combine like terms on the left side.

Subtract from both sides.

Combine like terms on the right side.

Divide both sides by to isolate .

Reduce.

So this means that there are 5 quarters.

Now move onto the equation where we've isolated 'd'.

Plug in

Subtract

So there are 35 dimes.
If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my tutoring website

Jim