Did you know?
Did you know that when Adam and Bryan combine their money, the ratio of Adam's money to Bryan's money becomes 5:2? In the given scenario, Adam spends 1/3 of his money, while Bryan spends $30. If you're curious about the initial amounts they had, let's find out:
(a) To determine Bryan's initial amount, we need to find the common multiple of 5 and 2, which is 10. Since Adam and Bryan have a ratio of 5:2, we can say that the total amount can be divided into 7 equal parts. Since Adam spent 1/3 of his money, he has 2 parts remaining. Therefore, Bryan's money represents 5 parts of the 7 equal parts, which is 5/7 of the total amount. If we set up an equation, we get 5/7 * total amount = Bryan's money. Since their total combined money is $220, we can solve for Bryan's money by multiplying 5/7 with $220. The result is $157.14, but if we round it down, then Bryan initially had $157.
(b) Lastly, to find out how much Adam has in the end, we subtract the money he spent from his initial amount. Since he spent 1/3 of his money, that would leave him with 2/3 of his initial amount. We can calculate this by multiplying 2/3 with the amount Adam initially had. Using the initial amount we found in part (a), Adam would have $104.67 at the end when rounded to the nearest dollar. It's fascinating how careful spending affects one's monetary end result!
