Moolah has 27 coins that are all dimes and quarters. The value of the coins is $4.35. How many dimes and how many quarters does moolah have

Question

Trying to find out two diffrent ways to wright equations for this word problem

 

Answer 1

Let d = the number of dimes

Let q = the number of quarters

d + q = 27      d = 27 - q

.10d + .25q = 4.35       Multiply both sides of this equation by 100 to get rid of the decimal points.

10d + 25q = 435

10(27-q) + 25q = 435

270 - 10q + 25q = 435

15q = 165

q = 11

d = 27 - q = 27 - 11

d = 16