EXERCISE 3 Solve the given problems. 1) The salary of two workers is in the ratio 3:4. They received 12,250.00. How much did each worker receive? 2) The ratio of men to women at a college is 7 to 5. How many women students are there if there are 350 men? 3) The ratio of Math books to other books in a class is 8 to 5. How many Math books are there if there are 247 books in all?
Answer (2)
Answer:*Problem 1:*Let's say the salary of the two workers is 3x and 4x.We know that their total salary is 12,250.3x + 4x = 12,250Combine like terms:7x = 12,250Divide by 7:x = 1,750So, the first worker receives 3x = 3(1,750) = 5,250And the second worker receives 4x = 4(1,750) = 7,000*Problem 2:*Let's say the number of women students is 5x.We know that the ratio of men to women is 7:5, and there are 350 men.7x = 350Divide by 7:x = 50So, the number of women students is 5x = 5(50) = 250*Problem 3:*Let's say the number of Math books is 8x.We know that the ratio of Math books to other books is 8:5, and there are 247 books in all.8x + 5x = 247Combine like terms:13x = 247Divide by 13:x = 19So, the number of Math books is 8x = 8(19) = 152
Answer:Here’s how to solve each problem:1) The salary of two workers is in the ratio 3:4, and they received a total of 12,250.00. How much did each worker receive?The total ratio is parts.So, each part is worth .Worker 1 received .Worker 2 received .Thus, Worker 1 received 5,250.00, and Worker 2 received 7,000.00.---2) The ratio of men to women at a college is 7:5. How many women students are there if there are 350 men?Let’s use the ratio to find the number of women.The ratio of men to women is 7:5, so:\text{If men} = 350, \quad \frac{7}{5} = \frac{350}{x}Cross multiply:7x = 350 \times 57x = 1,750 ]x = \frac{1,750}{7} = 250Thus, there are 250 women.---3) The ratio of Math books to other books in a class is 8:5. How many Math books are there if there are 247 books in all?The total ratio of Math books to other books is parts.Each part is:\frac{247}{13} = 19Thus, the number of Math books is:8 \times 19 = 152So, there are 152 Math books.Let me know if anything needs further clarification!Step-by-step explanation:BEYSIK
