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 process:

Step 1: Write down the ratios. 47,000 packages : 15,000 months and 94,000 packages : 30,000 months

Step 2: Simplify the ratios. To simplify a ratio, divide both sides by the greatest common divisor (GCD).

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

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

Step 3: Compare the simplified ratios. Both ratios simplify to 47 : 15 and 94 : 30.

Step 4: Check if the ratios are equivalent. Two ratios are equivalent if they simplify to the same number when expressed as a fraction.

47/15 = 3.1333 and 94/30 = 3.1333

Since both ratios simplify to the same number, they are equivalent.