Equivalent ratio is the ratio of two different number in which the value of both the ratio are same but with different number tor and denominator. The ratio of option A and Option B are equivalent to ratio 3:4.
Given information-
The ratio given in the problem is 3:4.
Equivalent ratio
Equivalent ratio is the ratio of two different number in which the value of both the ratio are same but with different number tor and denominator.
Ratio of blue shirts to the red shirts when the number of blue shirts is 30 and red shirts is 40.
Let r be the ratio for the blue shirt to the red shirts. Thus,
[tex]r=\dfrac{30}{40} [/tex]
[tex]r=\dfrac{3}{4} [/tex]
Thus the ratio of option A is equivalent to the ratio 3:4.
30 hats divided by the 70 mittens.
Let r be the ratio for the hats to the mittens. Thus,
[tex]r=\dfrac{30}{70} [/tex]
[tex]r=\dfrac{3}{7} [/tex]
Thus the ratio of option B is not equivalent to the ratio 3:4.
Two cats to every dog.
Let r be the ratio for the cats to the dog. Thus,
[tex]r=\dfrac{2}{1} [/tex]
[tex]r=2[/tex]
Thus the ratio of option C is not equivalent to the ratio 3:4.
For every 6 pencils there are 8 pens.
Let r be the ratio for the pencils to the pens. Thus,
[tex]r=\dfrac{6}{8} [/tex]
[tex]r=\dfrac{3}{4} [/tex]
Thus the ratio of option D is equivalent to the ratio 3:4.
Thus the ratio of option A and Option B are equivalent to ratio 3:4.
Learn more about the equivalent ratio here;
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