Question

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?

Answer 1

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.

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.