How can we distribute 182 apples between 3 people with a ratio of 1/4, 2/3, and 3/5?

Answer 1

You can't because 1/4+2/3+3/5=11/12+3/5=91/60= over 1.

Answer 2

The ratio given is 1/4 to 2/3 to 3/5

We can't use these exact values to divide up the apples because we probably don't want to have portions of apples, so we have to scale up.

Let's find a common denominator for these three fractions. 4, 3, and 5 are all factors of 60. That's the lowest common denominator. But, in this case, let's use 120 instead. You'll see why in a moment.

1/4 = 30/120

2/3 = 80/120

3/5 = 72/120

Therefore we could say that the whole-number ratio is 30:80:72

This tells us that we have to split the 182 apples up into 30 + 80 + 72 = 182 parts. Hey! The answer jumped out and surprised us. The three people will get 30, 80, and 72 apples, respectively.

Best wishes!

Answer 3