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To make 500 mL of orange juice, 125 mL of frozen concentrate and 375 mL of water are used. Write a ratio to compare the amount of water to the total amount of orange juice, reduced to its simplest form.

A. 1:4
B. 125:500
C. 3:4
D. 375:500

Answer :

To find the ratio of the amount of water to the total amount of orange juice, we follow these steps:

1. Identify the Amounts:
- The amount of water used is 375 mL.
- The total amount of orange juice made is 500 mL.

2. Set Up the Ratio:
- We need the ratio of water to total juice. So, the ratio is 375 mL (water) to 500 mL (total juice).

3. Simplify the Ratio:
- To simplify the ratio, we find the greatest common divisor (GCD) of both numbers. In this case, the GCD of 375 and 500 is 125.
- Divide both numbers by 125:
- [tex]\( 375 \div 125 = 3 \)[/tex]
- [tex]\( 500 \div 125 = 4 \)[/tex]

4. Write the Simplified Ratio:
- The simplified ratio of the amount of water to the total amount of juice is [tex]\( 3:4 \)[/tex].

So, the correct answer is 3:4.

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