Westonci.ca is the best place to get answers to your questions, provided by a community of experienced and knowledgeable experts. Get quick and reliable solutions to your questions from knowledgeable professionals on our comprehensive Q&A platform. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.
Sagot :
To solve this problem, we need to determine the price per quart for each container size and then find the ratio of the prices per quart.
### Step-by-Step Solution:
1. Calculate the price per quart for the 2-quart container:
The cost of a 2-quart container is [tex]$3.00. The volume of the 2-quart container is 2 quarts. \[ \text{Price per quart for the 2-quart container} = \frac{\$[/tex]3.00}{2 \, \text{quarts}} = \[tex]$1.50 \, \text{per quart} \] 2. Calculate the price per quart for the 1.5-quart container: The cost of a 1.5-quart container is $[/tex]2.50.
The volume of the 1.5-quart container is 1.5 quarts.
[tex]\[ \text{Price per quart for the 1.5-quart container} = \frac{\$2.50}{1.5 \, \text{quarts}} \approx \$1.67 \, \text{per quart} \][/tex]
3. Calculate the ratio of the price per quart of the 2-quart container to the price per quart of the 1.5-quart container:
[tex]\[ \text{Ratio} = \frac{\$1.50 \, \text{per quart}}{\$1.67 \, \text{per quart}} \approx 0.90 \][/tex]
4. Express the ratio in fractional form:
[tex]\[ 0.90 = \frac{9}{10} \][/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:
[tex]\[ \boxed{\frac{9}{10}} \][/tex]
So, the correct answer is Option A: [tex]\(\frac{9}{10}\)[/tex].
### Step-by-Step Solution:
1. Calculate the price per quart for the 2-quart container:
The cost of a 2-quart container is [tex]$3.00. The volume of the 2-quart container is 2 quarts. \[ \text{Price per quart for the 2-quart container} = \frac{\$[/tex]3.00}{2 \, \text{quarts}} = \[tex]$1.50 \, \text{per quart} \] 2. Calculate the price per quart for the 1.5-quart container: The cost of a 1.5-quart container is $[/tex]2.50.
The volume of the 1.5-quart container is 1.5 quarts.
[tex]\[ \text{Price per quart for the 1.5-quart container} = \frac{\$2.50}{1.5 \, \text{quarts}} \approx \$1.67 \, \text{per quart} \][/tex]
3. Calculate the ratio of the price per quart of the 2-quart container to the price per quart of the 1.5-quart container:
[tex]\[ \text{Ratio} = \frac{\$1.50 \, \text{per quart}}{\$1.67 \, \text{per quart}} \approx 0.90 \][/tex]
4. Express the ratio in fractional form:
[tex]\[ 0.90 = \frac{9}{10} \][/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:
[tex]\[ \boxed{\frac{9}{10}} \][/tex]
So, the correct answer is Option A: [tex]\(\frac{9}{10}\)[/tex].
Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.