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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].
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].
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