Juan has two fewer dimes than quarters.He has a total of $ 2.25.

Question

Define as a variable and write as equation 

Answer 1

Let x = the no. of quarters

The no. of dimes is x - 2

 

Knowing that a quarter is 25 cents and a dime is 10 cents, the relationship can be written as:

 

.25x + .10(x - 2) = 2.25    Multiply thru by 100 to clear decimals. 

 

25x + 10(x - 2) = 225

25x + 10x - 20 = 225

35x = 245

x = 7

 

There are 7 quarters and x - 2 = 7 - 2 = 5 dimes.