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Question

Juice stores have different flavors of juice in packets of different sizes. Choose the incorrect statement from the following options.


A
The ratio of the total volume of strawberry juice to the total volume of the rest of the juices is 8:15
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B
The ratio of the total volume of apple juice to the total volume of orange juice is 6:5
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C
The ratio of the total volume of strawberry juice to the total volume of all juices is 8:19.
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D
The ratio of the total volume of apple juice to the total volume of strawberry juice is 3:4
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Solution

The correct option is D The ratio of the total volume of apple juice to the total volume of strawberry juice is 3:4
The total volume of apple juice is 50+50+50=150 mL
The total volume of orange juice is 62.5+62.5=125 mL
The total volume of strawberry juice is 100+100=200 mL

The ratio of the total volume of apple juice to the total volume of orange juice is 150:125.
The ratio of 150:125 is not in its simplest form.
So, we will divide both numbers by their GCF.
The common factors of 150 and 125 are 5 and 25 so the GCF is 25.
So, the simplest form of 150:125 is 6:5.
Therefore, option A is correct.

The ratio of the total volume of apple juice to the total volume of strawberry juice is 150:200.
The ratio of 150:200 is not in its simplest form. So, we will divide both numbers by their GCF.
The common factors of 150 and 200 are 2,5,10,25, and 50. So, the GCF is 50.
So, the simplest form of 150:200 is 3:4.
Therefore, option B is correct.

The ratio of the total volume of strawberry juice to the total volume of the rest of the juices is 200:275.
The ratio of 200:275 is not in its simplest form.
So we will divide both numbers by their GCF.
The common factors of 200 and 275 are 5 and 25. So, the GCF is 25.
So, the simplest form of 200:275 is 8:11.
Therefore, option C is incorrect.

The ratio of the total volume of strawberry juice to the total volume of juice is 200:475.
The ratio 200:475 is not in its simplest form. So, we will divide both numbers by their GCF.
The common factors of 200 and 475 are 5 and 25.
So, the simplest form of 200:475 is 8:19.
Therefore, option D is correct.

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