Answer:
The correct answer is that Janice has 46 quarters and Annie 17.
Explanation:
1. Let's review the information provided to us to answer the question correctly:
Number of quarters Janice has = five less than three times as many quarters as Annie
Amount of money in quarters Annie and Janice have = US$ 15.75
2. How many quarter does Janice have?
For resolving this question, we have that:
x = Number of quarters Annie has
y = Number of quarters Janice has
System of equations:
0.25x + 0.25y = 15.75 (Amount of money in quarters Annie and Janice have)
y = 3x - 5 (five less than three times as many quarters as Annie)
Replacing y on the 1st equation:
0.25x + 0.25(3x - 5) = 15.75
0.25x + 0.75x - 1.25 = 15.75
x = 15.75 + 1.25
x = 17 ⇒ y = 3x - 5 = 51 - 5 = 46
The correct answer is that Janice has 46 quarters and Annie 17.