a sertain amount of money is divided among rio, kim and leo in the ratio 5:7:3 if leo gets $24,000.00, how much is t he total amount?
Answer (1)
Answer:Step-by-step explanation:To find the total amount of money that is divided among Rio, Kim, and Leo in the ratio of 5:7:3, given that Leo receives $24,000, we can follow these steps:Step 1: Understand the RatioThe ratio of the amounts received by Rio, Kim, and Leo is given as:Rio: 5 partsKim: 7 partsLeo: 3 partsStep 2: Find the Total PartsAdd up the parts of the ratio:5+7+3=15 partsStep 3: Determine the Value of Each PartSince Leo receives 3 parts and gets $24,000, we can find the value of one part by dividing the amount Leo receives by the number of parts he represents:Value of 1 part= 3 over 24,000=8,000Step 4: Calculate the Total AmountNow that we know the value of one part, we can find the total amount by multiplying the value of one part by the total number of parts:Total Amount=15 parts×8,000=120,000Total Amount=15 parts×8,000=120,000ConclusionThe total amount of money that is divided among Rio, Kim, and Leo is $120,000.
