application 2

MAT-105: APPLIED LIBERAL ARTS MATHEMATICS /48 = % Application Assignment 2 Answer each question and show all work. Make the following comparisons and interpret each one. 1. Compare 16 paintings and 2 artists by: a. Subtraction: 16-2=14 b. Division:16/2=8 c. Is your answer for part (b) an example of a ratio or a rate? Explain your answer. Rate, different units 2. Compare 18 books and 6 books by: a. Subtraction: 18-6=12 b. Division:18/6=3 c. Is your answer for part (b) an example of a ratio or a rate? Explain your answer. Ratio, same units. 3. Is 5 13 an example of a ratio or a rate? Explain your answer. This is a ratio because the denominator isn’t one. 4. Write 14 pencils 2 people in the form “a to b.” Reduce if possible. 14 pencils to 2 people 14 to 2 7 to 1 7 pencils for every person 7 pencils/person 14 pencils for every 2 people 14 pencils/2 people 5. Describe the proportion using words.

12 movies 3 nights = 4 movies 1 night 12 movies for 3 nights 6. Find the missing factor. 1.5 7 = x 21 1.5x3= 4.5 7x3= 21 4.5 7. Express the sentence as a proportion and solve for x . 16 cups are to 1 gallon as x cups are to 5 gallons. 16 c 1 g = xc 5 g 16(5)=1x x=80 cups 8. The ratio of green candies to red candies in a bag is 3:2. If there are 42 green candies, how many red candies are there? Green to red 3 ¿ ¿ 2 ¿ ¿ = 42 ¿ ¿ x ¿ ¿ 3 to 2 3x14 x=28 red candies 2x14 9. A bottle of children’s liquid fever medicine says the dose for children under 12 is 1 8 teaspoon for every 10 pounds your child weighs. If your child weighs 40 pounds, how much medicine should be given? 1 / 8 tsp 10 pounds = x 40 pounds 1 8 x 4 1 = 4 8 = 1 2 If your child weighs 40 pounds they should have ½ teaspoon of medicine.

10. Convert 1% to a fraction and a decimal. fraction= 1 100 decimal= 0.1 Percents are always out of 100 (fraction) Divide percentages by 100, or move decimal to left by two places 11. Convert 14 4 to a decimal and percent. 14/4= 3.5 Multiply decimal by 100 to change percent percent = 350% decimal= 3.5 12. Convert 400 40 to a decimal and percent. 40/4= 10 Decimal 10.0 percent= 1000% 13. Convert 1 4 5 % to a fraction. 9 / 5 100 = 9 500 14. Convert 4 3 16 % to a 4-place decimal. 67 / 16 100 0.041875 0.0419 For questions 15-20, write an equation for each problem and solve. 15. A pearl ring is on sale for 15% off the regular price. The discounted price of the ring is $353.60. What was the original price of the ring? 15% off is 85% of regular price .85 x .85 = 353.60 .85 The original price was 416$ 16. A computer is advertised at $1,285 and you pay $1,366.60. What percent tax are you paying?