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Proportional Relationships Practice: Solving Real-World Problems

Practice problem-solving with ratio, percent, and commissions. Solve multi-step challenges involving discounts, markups, and commissions. Enhance mastery of proportional relationships.

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Proportional Relationships Practice: Solving Real-World Problems

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  1. Lesson 7.1.2 – Teacher Notes • Standard: • 7.RP.A.3 Use proportional relationships to solve multistep ratio and percent problems. Examples: simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, percent error. • 7.EE.A.2 Understand that rewriting an expression in different forms in a problem context can shed light on the problem and how the quantities in it are related. For example, a + 0.05a = 1.05a means that "increase by 5%" is the same as "multiply by 1.05." • 7.NS.A.3 Solve real-world and mathematical problems involving the four operations with rational numbers. • Full mastery can be expected by the end of the chapter. • Lesson Focus: • The focus of the lesson is to provide additional practice of solving real-world problems. The questions are balanced between one-step and multi-step. (7-27, 7-29, and the additional challenge) • I can investigate and solve real-world rational number word problems. • Calculator: No • Literacy/Teaching Strategy: Red-Light-Green-Light (7-27); Participation Quiz (Whole Lesson) Cronnelly

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  4. GUIDED PRACTICE #1 A $250 suede jacket is on sale for 20% off. What would the sale price be for the jacket? YOU TRY #1 A bracelet regularly sells for $44. It is on sale for 25% off. What would the sale price be for the bracelet? Cronnelly

  5. GUIDED PRACTICE #2 A store is having a sale where everything is discounted 30%. An item is bought that cost $365. What is the discount amount? What is the sales price? YOU TRY #2 Jean Junction is selling jeans at 15% off the regular price. The regular price is $25.00 a pair. What is the discount amount? What is the sales price? Cronnelly

  6. YOU TRY #3 Jean Junction is selling jeans at 15% off the regular price. The regular price is $25.00 a pair. What is the discount amount? What is the sales price? GUIDED PRACTICE #3 A store is having a sale where everything is discounted 30%. An item is bought that cost $365. What is the discount amount? What is the sales price? Cronnelly

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  8. YOU TRY #4 The markup on a restaurant meal is 250%. A meal costs $7.30 to produce. What amount will the customer be charged? GUIDED PRACTICE #4 A store marks up merchandise 40% for profit. If an item costs $12, what is the selling price? Cronnelly

  9. GUIDED PRACTICE #5 A store bought hardwood flooring at a cost of $0.32 a square foot. The district manager wants a profit of 275%. What will be the cost that consumers will pay to purchase the flooring? YOU TRY #5 A computer software retailer used a markup rate of 40%. Find the selling price of a computer game that cost the retailer $25. Cronnelly

  10. YOU TRY #6 Evan sells skateboards in his store. He marks up the prices by 32.5% of what he pays for them. If he purchased a gold series skateboard for $128.92, how much will he charge for the skateboard in his store? GUIDED PRACTICE #6 A golf shop pays its wholesaler $40 for a certain club. The golf shop marks the club up 187.5%. What is the selling price the golf shop will pass along to its consumers? Cronnelly

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  12. GUIDED PRACTICE #7 A real estate agent makes a 4% commission on property she sells. To the nearest dollar, how much commission does she make on the sale of a house for $132,500? YOU TRY #7 A salesman earns a monthly base pay of $725 plus a 6.5% commission on products that he sells. What will be his total pay for the month if he sells $22,648 worth of products? Cronnelly

  13. GUIDED PRACTICE #8 Tom makes a commission of 6% on all the cars he sells. If he sells a car for $12,500, how much money does me make in commission? YOU TRY #8 Phil makes a commission of 12% on each bike he sells. If he sells a bike for $289, how much commission does he make? Cronnelly

  14. YOU TRY #9 A sports agent earns an 8.5% commission on an athlete’s signing bonus. If the signing bonus was $750,000, what was the agent’s commission earned? GUIDED PRACTICE #9 Mary makes a base pay of $100 a week and a commission of 11% on musical instruments she sells. If she sold one electric guitar for $590 last week, what was Mary’s total salary for last week? Cronnelly

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  16. GUIDED PRACTICE #10 Wayne needs to buy a new pair of work boots. The boots cost $34.00 and the sales tax is 6%. What is the amount in sales tax Wayne will need to pay? What will the total purchase price be? YOU TRY #10 Allie has been waiting for the new Justin Timberlake cd. It costs $12.98at Wal-Mart. The tax rate in Mississippi is 7%. What is the amount in sales tax Allie will have to pay? What will the total purchase price be? Cronnelly

  17. GUIDED PRACTICE #11 • Damon found a reciprocating saw at Lowe’s. The cost of the saw is $59.00. The sales tax is 5.75%. What is the amount in sales tax Damon will need to pay? • What will the total purchase price be? YOU TRY #11 • Jake found some subwoofers he wanted to have installed in his car. The cost of the subwoofers is $249.95. The rate of sales tax for Tennessee is 9.25%. What is the amount in sales tax Jake will need to pay? • What will the total purchase price be? Cronnelly

  18. GUIDED PRACTICE #12 Mrs. Osborn saw the cutest Minion watch that she just had to have. The watch costs $32.50. She was surprised to learn it had been marked down 10%. The sales tax will cost her 7%. What is the amount of the discount? Sales price? What is the tax amount? What is the final cost of the watch? YOU TRY #12 Valerie went shopping at the Southaven Mall. She bought a pair of jeans for $39.00 and a pair of shoes for $52.75. She had a coupon that said “20% off” all items. If the sales tax was 7.5%, what was the total for all of the items including tax? Cronnelly

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  20. GUIDED PRACTICE #13 Your parents took your family out to dinner. Your parents wanted to give the waiter a 15% tip. If the total amount of the dinner was $42.00,what should be paid to the waiter as a tip? YOU TRY #13 Mrs. Smith paid $125 to have her hair colored and cut. If she tips her hairdresser 15% of her bill, how much was the tip? Cronnelly

  21. GUIDED PRACTICE #14 At a restaurant you order a meal and a beverage that costs $14. You leave a 20% tip. What is the amount of the tip you left? YOU TRY #14 At a restaurant you order a lunch that costs $6.50 and a beverage that costs $1.50. The sales tax is 7% and you leave a 15% tip. What is the amount of the sales tax? What is the amount of the tip? What is the total cost of the meal? Cronnelly

  22. GUIDED PRACTICE #15 Mrs. Austin wanted to go to a Day Spa. She got a massage. The massage costs $85.00. She gave the masseur a 20% gratuity. How much did Mrs. Austin tip the masseur? YOU TRY #15 Lance was delivering pizzas. On the last order of the night, Lance received a 17.5% tip based on his order. If the order totaled $75.00, how much did he earn as a tip? Cronnelly

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