Jennifer has three more dimes than nickels and three times as many quarters as nickels. If she has $7.50, how many quarters does she have?

To determine how many quarters Jennifer has, we first need to establish relationships between the different types of coins based on the information given.

Let's denote the number of nickels Jennifer has as ( n ). According to the information provided, Jennifer has:

• Three more dimes than nickels, which can be expressed as ( n + 3 ) dimes.

• Three times as many quarters as nickels, yielding ( 3n ) quarters.

Next, we convert the number of each type of coin into their respective monetary values:

• The value of ( n ) nickels is ( 0.05n ) dollars.
• The value of ( n + 3 ) dimes is ( 0.10(n + 3) ) dollars.
• The value of ( 3n ) quarters is ( 0.25(3n) = 0.75n ) dollars.

Now we can set up an equation to represent the total amount of money she has. The total value in dollars can be calculated as follows: [ 0.05n + 0.10(n + 3) + 0.75n = 7.50 ] Simplifying the