Select two ratios that are equivalent to 6: 10 a 20: 12 b 32: 50 c 3: 5 d 24: 40 e 14: 80

Suppose we have a given ratio a:b, if we multiply each side by the same number, c, the ratio will be equivalent to the original one.

this means that a:b is equivalent to c*a : c*b.

With this we can see that the two equivalent ratios are the ones from options C and D

3:5 and 24:40

So from what we know, one way to see if two ratios are equivalent is to take the quotient between the two values. If for two ratios we get the same quotient, then these ratios are equivalent.

A) 20:12

The quotient is  20/12 = 1.666...

B) 32:50

The quotient is  32/50 = 0.64

C) 3:5

The quotient is  3/5 = 0.6

D) 24:40

The quotient is  24/40 = 0.6

E) 14:80

The quotient is  14/80 = 0.175

So we can see that the ones with the same quotient are C and D.

Then the two equivalent ratios are 3:5 and 24:40

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The correct answers are C and D. The two ratios that are equivalent to 6:10 are 3:5 and 24:40.

Step-by-step explanation:

As 6/10 is equal to 0.60 in ordinary numbers, in order to know the equivalencies we have to divide the ratios and see if their results are equal to 0.60 or not. So:

A. 20/12 = 1.66

B. 32/50 = 0.64

C. 3/5 = 0.60

D. 24/40 = 0.60

E. 14/80 = 0.17

Therefore, these calculations show that the ratios that are equivalent to 6:10 are 3:5 and 24:40.

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step-by-step explanation: