RATIO AND PROPORTION 1. The chiming clock on the mantle gains 4 seconds every 24 hours. How many minutes will it gain in one year? 2. Lydia has 6 grandchildren on her son’s side and 4 grandchildren on her daughter’s side. Lydia wants to divide 720 acres proportionally between her daughter and son by their ratio of children. How many acres will the son and daughter receive? 3. Joseph usually gives $30 a month to charity and $80 a month to his children. If Joseph makes a will that divides his estate in the same ratio, and his estate is worth $104,500, how much will go to charity and how much to his children? 4. The stock of a certain company is priced at $18.20 per share. The company’s earnings for one year amounted to $2.80 per share. a. Find the price-to-earnings ratio. b. If the company earned $3,360,000 in that year, what was the total value of its stock? 5. A real estate agent sold a house for $84,000. Her commission on the sale was $5,040. a. What was the commission-to-selling price ratio? b. What would be her commission on a house she sells for $278,000? 6. Alice can type 300 words in 5 minutes. She must type a 7,500 word report for English. How long will it take her to finish? 7. Carlos drove from Corpus Christi to Midland in 7.5 hours at an average rate of 65 mph. If it took Vicky 6 hours to make the drive, what was her average speed? 8. The ratio of two integers is 9:7. Their sum is 1024. Find the two integers. 9. Suppose you work at a grocery store. The milk display holds 160 one-gallon jugs of milk. From previous sales you know that the generic brand outsells the national brand by 7:3. How many containers of each kind of milk should you put in the case in order to have this ratio? 10. A filling station sells unleaded, plus, and super in the ratio 5:7:2. The total monthly quota is 28,000 liters of gasoline. How many liters of each kind should be ordered so that the quota will have this ratio?
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