Are these ratios equivalent?47 000 packages : 15 000 months94 000 packages : 30 000 months

Yes, these ratios are equivalent. Here's the step-by-step explanation:

Step 1: Write down the ratios. The first ratio is 47,000 packages to 15,000 months. The second ratio is 94,000 packages to 30,000 months.

Step 2: Simplify the ratios. To simplify a ratio, divide both numbers by their greatest common divisor.

For the first ratio, the greatest common divisor of 47,000 and 15,000 is 1,000. So, divide both numbers by 1,000. 47,000 ÷ 1,000 = 47 15,000 ÷ 1,000 = 15 So, the simplified first ratio is 47:15.

For the second ratio, the greatest common divisor of 94,000 and 30,000 is also 1,000. So, divide both numbers by 1,000. 94,000 ÷ 1,000 = 94 30,000 ÷ 1,000 = 30 So, the simplified second ratio is 94:30.

Step 3: Compare the simplified ratios. The simplified first ratio is 47:15, and the simplified second ratio is 94:30.

If you double the numbers in the first ratio, you get 94:30, which is exactly the same as the second ratio.

So, the ratios 47,000 packages to 15,000 months and 94,000 packages to 30,000 months are equivalent.