Joann has a certain number of dimes and quarters in her purse, with a total value of $3.75. The number of quarters is 2 less than 3 times the number of dimes. Which system of equations could
be used to find the number of dimes, d, and the number of quarters, q, that Joann has?

The system of equations 10d+25q=375 and q = 3d-2 can be used to find the numbers of dimes and quarters that Joann has.

Step-by-step explanation:

Given that:

Total value of dimes and quarters = $3.75 = 3.75*100 = 375 cents

One quarter = 25 cents

One dime = 10 cents

Let,

d be the number of dimes

q be the number of quarters

According to given statement,

10d+25q=375

q = 3d-2

Hence,

The system of equations 10d+25q=375 and q = 3d-2 can be used to find the numbers of dimes and quarters that Joann has.