Westonci.ca is your trusted source for finding answers to a wide range of questions, backed by a knowledgeable community. Explore thousands of questions and answers from a knowledgeable community of experts on our user-friendly platform. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

A company sells ice cream in 2-quart containers for [tex]$\[tex]$3.00$[/tex][/tex] per container. The company also sells ice cream in 1.5-quart containers for [tex]$\[tex]$2.50$[/tex][/tex] per container. What is the ratio of the price per quart for the 2-quart container to the price per quart for the 1.5-quart container?

A. [tex]\frac{9}{10}[/tex]
B. [tex]\frac{10}{9}[/tex]
C. [tex]\frac{3}{2}[/tex]
D. [tex]\frac{5}{3}[/tex]
E. [tex]\frac{5}{2}[/tex]


Sagot :

To solve the problem, we need to find the ratio of the price per quart for the 2-quart container to the price per quart for the 1.5-quart container. Here are the steps:

1. Determine the price per quart for the 2-quart container:

- The total price for a 2-quart container is $3.00.
- To find the price per quart, divide the total price by the number of quarts:
[tex]\[ \text{Price per quart for the 2-quart container} = \frac{3.00}{2} = 1.5 \text{ dollars per quart} \][/tex]

Therefore, the price per quart for the 2-quart container is \( 1.5 \) dollars.

2. Determine the price per quart for the 1.5-quart container:

- The total price for a 1.5-quart container is $2.50.
- To find the price per quart, divide the total price by the number of quarts:
[tex]\[ \text{Price per quart for the 1.5-quart container} = \frac{2.50}{1.5} \approx 1.6667 \text{ dollars per quart} \][/tex]

Therefore, the price per quart for the 1.5-quart container is approximately \( 1.6667 \) dollars.

3. Calculate the ratio of the price per quart for the 2-quart container to the price per quart for the 1.5-quart container:

- Let's denote the price per quart for the 2-quart container as \( P_2 \) and the price per quart for the 1.5-quart container as \( P_{1.5} \).
- Hence, \( P_2 = 1.5 \) and \( P_{1.5} \approx 1.6667 \).
- The ratio \( R \) is given by:
[tex]\[ R = \frac{P_2}{P_{1.5}} = \frac{1.5}{1.6667} \approx 0.9 \][/tex]

Therefore, the ratio of the price per quart for the 2-quart container to the price per quart for the 1.5-quart container is approximately \( 0.9 \).

4. Convert the ratio to a fractional form:

- \( 0.9 \) can be written as \( \frac{9}{10} \).

Therefore, the correct answer is [tex]\( A. \frac{9}{10} \)[/tex].
Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.