college algbra

Question

Kevin and Randy Muise have a jar containing 53

?coins, all of which are either quarters or nickels. The total value of the coins in the jar is ?$10.05
.
How many of each type of coin do they? have?

Answer 1

Hi Holly, 

Step One: Define Let Statements

Let x= the number of quarters

Let 53-x= the number of nickels 

Step Two: Create an equation

10.05=.25x+.05(53-x)

10.05=.25x+2.65-0.05x

7.4=0.2x

37=x

∴There are 37 quarters and 16 nickels.

Sincerely, 

Starlyte H.