Ben has $3.40 consisting of quarters and dimes. How many coins of each kind does he have if he has 22 coins? Which of the follow
ing system of equations represents the word problem if d is the number of dimes and q is quarters? A) d + q = 22 and 10d + 25q = 340
B) 10d + 25q = 22 and d + q = 340
C) dq = 22 and d + q = 340
The correct answer is A. The number of dimes (d) and quarters (q) is 22, as said in the problem. So d + q = 22. We know that the total value of these dimes and quarters is $3.40 or 340 cents. We also know that dimes are worth 10 cents and quarters worth 25 cents. The total number of dimes and quarters would be represented like this: 10d + 25q = 340. Therefore A. is the correct answer.
