Additional Exercises 6.1Write each ratio as a ratio of whole numbers using fractional notation in simplest form.1. 6 to 172. 8 to 243. 241 to 3834. 3.5 to 105. 12 to 186. 2.8 to 5.67. 60 miles to 15 miles8. 280 acres to 120 acres9. 78 gallons to 86 gallons.10. $85 to $12011. 0.6 meters to 3 metersA rectangular storage building is 20 feet long and 15 feet wide.12. Find the ratio of the width to the length in simplest terms.13. Find the ratio of the length to the perimeter of the building.14. Find the ratio of the width to the perimeter of the building.1. 2. 8:243. 4. 12:186. 7. 8. 9. 10. 11. 12. 13. 14. A math class has 18 women and 3839.15. Find the ratio of men to women.16. Find the ratio of men to total students.Write each rate as a unit rate.17. 156 calories in 12 ounces18. 434 miles in 7 hours15. 16. 7. 8.
Q. Additional Exercises 6.1Write each ratio as a ratio of whole numbers using fractional notation in simplest form.1. 6 to 172. 8 to 243. 241 to 3834. 3.5 to 105. 12 to 186. 2.8 to 5.67. 60 miles to 15 miles8. 280 acres to 120 acres9. 78 gallons to 86 gallons.10. $85 to $12011. 0.6 meters to 3 metersA rectangular storage building is 20 feet long and 15 feet wide.12. Find the ratio of the width to the length in simplest terms.13. Find the ratio of the length to the perimeter of the building.14. Find the ratio of the width to the perimeter of the building.1. 2. 8:243. 4. 12:186. 7. 8. 9. 10. 11. 12. 13. 14. A math class has 18 women and 3839.15. Find the ratio of men to women.16. Find the ratio of men to total students.Write each rate as a unit rate.17. 156 calories in 12 ounces18. 434 miles in 7 hours15. 16. 7. 8.
Define 9% Solution: Let's call the amount of 9% solution to be added "x" gallons.
Calculate Acetone in 14% Solution: The amount of acetone in the 14% solution is 100 gallons ×0.14=14 gallons.
Calculate Acetone in 9% Solution: The amount of acetone in the 9% solution is x gallons ∗0.09.
Find Total Solution Amount: The total amount of solution after adding x gallons of 9% solution is 100 gallons + x gallons.
Calculate Total Acetone in New Solution: The total amount of acetone in the new solution should be 10% of the total solution, so (100+x) gallons ∗0.10.
Set Up Equation: Now we set up the equation: 14 gallons + (x×0.09)=(100+x)×0.10.
Simplify Equation: Simplify the equation: 14+0.09x=10+0.10x.
Isolate x: Rearrange the equation to isolate x: 0.09x−0.10x=10−14.
Solve for x: Solve for x: −0.01x=−4.
Final Solution: Divide both sides by −0.01 to find x: x=400.
More problems from Weighted averages: word problems