Write an equation for each situation. Then use the equation to solve the problem

Question

Sierra has a total of 61 dimes and quarters in her piggyback. She has 3 more quarters than dimes. The coins have a total value of $10.90. How many dimes and how many quarters does she have 

Answer 1

Alright, Nancy, let's do this.

 

If dimes are d, then quarters is d + 3.

 

10d + 25(d + 3) = 1090 

 

I'm dealing with cents to get rid of the pesky decimal.

 

10d + 25d + 75 = 1090

                     35d = 1015

                         d = 29

 

Since quarters = d + 3, there are 32 quarters and 29 dimes.

 

Hope this helps!