janice has five less than three times as many quarters as Annie. together they have a total of 15.75. how many quarter doe Janice has?

The correct answer is that Janice has 46 quarters and Annie 17.

Step-by-step 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.