1.3 Problem-Solving Procedures 29 10. Bachelor’s Degrees The following circle graph shows the percent of bachelor’s degrees awarded in 2020 in business, health professions, social sciences and history, psychology, engineering, and other fields in the United States. In 2020, the number of bachelor’s degrees awarded was 2,038,431. Source: Ed.gov Bachelor’s Degrees Awarded in 2020 Engineering 6.3% Social Sciences 7.9% Business 19% Psychology 5.9% Health Professions 12.6% Other 48.3% a) How many more bachelor’s degrees were awarded in business than in health professions? 130,460 b) How many more bachelor’s degrees were awarded in engineering than in psychology? 8154 11. Golf Balls Reid is given a $100 gift certificate to a golf shop and wishes to purchase the maximum number of golf balls that he can. A 12-pack of golf balls can be purchased for $14 and a 24-pack of golf balls can be purchased for $21. a) What is the maximum number of golf balls that Reid can purchase for $100 or less? 108 golf balls b) If the maximum number of golf balls is purchased in the most economical way, how much will the golf balls cost? $98 12. Ordering Pizza Sofia is ordering pizza at her friend’s birthday party. She collects $87 from the attendees. At Pizza Paradise a medium pizza sells for $10 and has 8 slices. A large pizza sells for $14 and has 12 slices. Assume all the slices are the same size and that only entire pizzas may be ordered. a) Determine the maximum number of slices of pizza that Sofia can purchase for $87 or less. 72 slices b) If the maximum number of slices is purchased in the most economical way, how much will the pizza cost? $84 13. Home Theater System Jackson wants to purchase a home theater system that sells for $2500. Either he can pay the total amount at the time of purchase or he can agree to pay $250 down and $130 a month for 18 months. How much money can he save by paying the total amount at the time of purchase? $90 14. Scooter Will wants to purchase a new scooter that sells for $2800. He can either pay the total amount at the time of purchase or he can agree to pay $560 down and $55 per month for 48 months. How much money can Will save by paying the total amount at the time of purchase? $400 5. Sales Tax Quan purchased four tickets to see Luke Bryan at the Ryman Auditorium in Nashville. The tickets cost $113 each plus tax. The sales tax rate in Nashville is 9.25%. Determine the total price Quan paid for the four tickets. $493.81 6. Sales Tax Michelle purchased two tickets to see Kendrick Lamar at the Hollywood Bowl in Los Angeles. The tickets cost $187 each plus tax. The sales tax rate in Los Angeles is 9.5%. Determine the total price Michelle paid for the two tickets. $409.53 7. Landscaping Mulch Clarence estimates that he will need enough mulch to cover 165 ft2 in his flower beds. One bag of mulch covers an area of about 12 ft2 and only whole bags may be purchased. The mulch costs $3.97 per bag plus 7% sales tax. a) How many bags of mulch will Clarence need to buy? 14 bags b) What will be the cost of the mulch before tax? $55.58 c) What will be the total cost, including sales tax? $59.47 8. Playground Mulch Imani estimates that she will need enough playground mulch to cover 184 ft2 under her children’s swing set. One bag of playground mulch covers an area of about 3 ft2 and only whole bags may be purchased. The mulch costs $6.98 per bag plus 9% sales tax. a) How many bags of playground mulch will Imani need to buy? 62 bags b) What will be the cost of the playground mulch before tax? $432.76 c) What will be the total cost, including sales tax? $471.71 9. How Americans Spend Their Money The following circle graph shows the percent of Americans’ net monthly income spent on housing, transportation, food, insurance/ retirement, healthcare, and entertainment/miscellaneous. Source: BLS.gov How Americans Spend Their Money Healthcare 8.4% Entertainment/ Misc. 17.0% Insurance/ Retirement 11.8% Transportation 16.0% Housing 34.9% Food 11.9% Martha has a net monthly income of $2600. Assume this graph applies to Martha. a) How much more money per month does Martha spend on transportation than on food? $106.60 b) How much more money per month does Martha spend on housing than on healthcare? $689.00
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