Three friends Nick, Rachel and Ahmed have a lemonade stand. They decide to share the profits the following way. Nick gets 2/3 of the total profits. Rachel will get 1/4 of the total profits. Explain why Ahmed will get 1/12 of the total profits. Give reasons for your answer
2/3 + 1/4 + x = 1
8/12 + 3/12 + x = 1
11/12 + x = 1
looks like x is 1/12
Thank you :D
To understand why Ahmed will get 1/12 of the total profits, we need to consider the proportional division of profits based on the given information.
Let's start by finding the combined fraction of profits that Nick and Rachel will receive. Nick receives 2/3 of the total profits, and Rachel receives 1/4 of the total profits.
To find their combined fraction, we need to find the least common multiple (LCM) of the denominators 3 and 4, which is 12.
Next, we need to convert the fractions to have a denominator of 12:
Nick's share = (2/3) * (4/4) = 8/12
Rachel's share = (1/4) * (3/3) = 3/12
Now, let's find the remaining fraction of the profits that Ahmed will receive. Since the three friends share the entire profit, Ahmed's share will be what is left after giving Nick and Rachel their shares. To find this, we subtract Nick and Rachel's combined fraction from 1 (since 1 represents the whole).
Ahmed's share = 1 - (8/12 + 3/12) = 1 - 11/12 = 1/12
Therefore, Ahmed will receive 1/12 of the total profits.