The Correct Answer and Explanation is:
The correct answer to the question “How many quarters are there in $1.50?” is 6. The handwritten answer shown in the image is correct.
To understand how to arrive at this answer, we first need to know the value of a single quarter. A U.S. quarter is worth 25 cents, which can also be written as $0.25. The name “quarter” itself signifies that it is one quarter of a dollar. Since a dollar is equal to 100 cents, and 100 divided by 4 is 25, there are precisely four quarters in one dollar. This is a foundational piece of information for solving the problem.
One of the most straightforward ways to find the solution is to break down the total amount,
1.50,intoitscomponents:onedollar(1.50,intoitscomponents:onedollar(1.00) and fifty cents ($0.50). We can analyze each part separately. First, for the $1.00 portion, we know there are four quarters. Next, we look at the remaining $0.50. Since one quarter is worth 25 cents, we can determine how many 25-cent coins are needed to make 50 cents. By adding 25 cents plus 25 cents, we get 50 cents. Therefore, there are two quarters in fifty cents. Finally, we add the quarters from both parts together: the four quarters from the dollar and the two quarters from the fifty cents, which gives us a total of six quarters.
A more direct mathematical approach is to use division. You can divide the total amount of money by the value of one quarter. The calculation would be $1.50 divided by $0.25. To simplify this, you can remove the decimals by thinking in terms of cents. The total amount is 150 cents, and a single quarter is 25 cents. The problem then becomes 150 divided by 25. By performing this division (150 ÷ 25), you get the answer 6. Both methods confirm that exactly six quarters are needed to equal $1.50.
