Question

Yolanda has quarters, Q, and dimes, D, in her coin jar. She has a total of 31 coins.

The total amount of money in the jar is $4.75\$4.75$4.75 . Write two equations that could be used to find the number of quarters and the number of dimes in the jar.

Solve the equations to find out how many quarters and

how many dimes Yolanda has in her jar.

Answer 1

11 Quarters 20 Dimes

Explanation:

Q+D=31

25Q +10D = 475 (miltiplied all by 100 to avoid decimals)

Multiply the first by -10(to eliminate D)

-10Q - 10D = - 310

25Q+10D = 475

ADD BOTH( D will cancel)

15Q = 165

Q= 11

31-11 =20 (dimes =20)

11x0.25 = 2.75

20x0.10=2

2.75+2 = $4.75