If the original ratio in this class is 3 boys to 5 girls, what is another equivalent ratio you could write about this class?
A.
4/10
B.
30/50
C.
1/2
D.
10/6
The original ratio of the class is 3 boys to 5 girls. To find an equivalent ratio, we need to find numbers that have the same ratio as 3:5.
Let's examine the options:
A. 4/10 = 2/5
B. 30/50 = 3/5
C. 1/2 = 3/6
D. 10/6 = 5/3
Out of these options, B. 30/50 = 3/5 is an equivalent ratio to 3:5.
To find another equivalent ratio for the original ratio of 3 boys to 5 girls, we need to find a ratio where the number of boys and girls is proportional.
The original ratio is 3 boys to 5 girls. This means that for every 3 boys, there are 5 girls. To find another equivalent ratio, we can multiply both the number of boys and girls by the same factor.
Let's consider each of the answer choices:
A. 4/10: If we multiply the number of boys (3) and girls (5) by 2, we get 6 boys and 10 girls. Therefore, the ratio becomes 6 boys to 10 girls, which can be simplified to 3/5. This option is equivalent to the original ratio.
B. 30/50: To check if this ratio is equivalent, we need to find out if we can multiply both the number of boys and girls by the same factor to get 30 boys and 50 girls. However, if we multiply the original ratio by 10, we would get 30 boys to 50 girls, which simplifies to 3/5, not 30/50. Therefore, this ratio is not equivalent.
C. 1/2: If we multiply the number of boys (3) and girls (5) by 1/2, we get 1.5 boys and 2.5 girls. However, we cannot have a fraction of a person, so this is not a valid ratio. Therefore, this option is not equivalent to the original ratio.
D. 10/6: This ratio has a greater number of boys (10) compared to the original ratio (3 boys). Therefore, this ratio is not equivalent to the original.
From the given answer choices, the only ratio that is equivalent to the original ratio of 3 boys to 5 girls is A. 4/10.
To determine another equivalent ratio for the given class, we need to find a ratio that represents the same proportion of boys to girls as the original ratio of 3 boys to 5 girls.
Let's check the options one by one:
A. 4/10: Simplifying this ratio gives us 2/5, which does not match the original ratio of 3 boys to 5 girls.
B. 30/50: Simplifying this ratio gives us 3/5, which is an equivalent ratio to the original ratio of 3 boys to 5 girls.
C. 1/2: This ratio does not match the original ratio of 3 boys to 5 girls.
D. 10/6: Simplifying this ratio gives us 5/3, which is not equivalent to the original ratio.
Therefore, the correct option is B. 30/50 as an equivalent ratio to the original ratio of 3 boys to 5 girls.
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Using the original ratio of 5/2, if there is 20 parts apple juice how many parts cranberry juice will there be?
A.
8
B.
3
C.
10
D.
6
To find out the number of parts of cranberry juice, we need to identify the ratio between cranberry juice and apple juice.
The original ratio is 5 parts apple juice to 2 parts cranberry juice.
If we know there are 20 parts of apple juice, we can set up a proportion:
5 parts apple juice / 2 parts cranberry juice = 20 parts apple juice / X parts cranberry juice
Cross-multiplying, we can solve for X:
5 * X = 2 * 20
5X = 40
Dividing both sides by 5:
X = 8
Therefore, there will be 8 parts of cranberry juice.
The correct option is A. 8.
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Using the original ratio 5:2, what is another equivalent ratio for this juice mixture?
A.
20 to 50
B.
10: 5
C.
40/16
D.
100/200