MORE BUSINESS APPLICATIONS Lesson Objective • At the end of this lesson, the students should be able to apply fractions, decimals, and percent in solving business problems and problems in reallife situations. Applications of Fractions 1. 1 2 5 3 Lilia owns three parcels of land of 12 , 8 , and 3 1 15 hectares. If she sells a total of 18 hectares, how 4 2 many hectares will be left? 1 2 3 12 + 8 +15 5 3 4 1 − 18 2 = (12 + 8 + 15) + = 35 + 97 = 35 + 60 − 1 2 +3 5 12+40+45 60 1 18 2 → + 3 4 1 − 182 37 35 + 1 60 37 1 = 36 + 60 − 18 2 = (36 − 18) + = 18 ๐ ๐๐ 37 60 1 − 182 30 − 60 hectares − 1 18 2 Applications of Fractions 2. Juanita sells different types of cloth. She cuts a bolt of cloth containing 100 yards into single-pants 1 cut of 1 yards each. 4 a. Into how many pieces was the bolt cut? 100 100 4 400 → = 100 × = = 80 pieces 1 5 5 5 1 4 4 b. If Juanita sells the cloth at โฑ150 per cut, how much will the entire bolt sell? 80 × โฑ150 = โฑ12,000 c. If Juanita bought the bolt at โฑ90 per yard, how much gross profit will she earn? Gross profit = Total sales – Total cost = โฑ12,000 – (100 yd at โฑ90/yd) = โฑ12,000 – โฑ9,000 = โฑ3,000 Applications of Fractions 1 3. A carpenter can finish a stool in 1 hours. If he 4 works 8 hours a day, 5 days a week, how many stools can he finish in a week’s time? ๐ ๐ก๐จ๐ฎ๐ซ๐ฌ ๐ ๐ ๐ ๐๐๐๐๐/๐ฌ๐ญ๐จ๐จ๐ฅ → ๐ ๐ ๐ = ๐× ๐ ๐ = ๐๐ ๐ stools/day 32 stools/day × 5 days/week 5 = 32 stools/week Applications of Fractions 4. Dr. Rolando Lopez bought a dentist’s chair for 3 โฑ50,000. He paid of this amount as down payment. 5 1 His mother gave him of the down payment. 4 a. How much was the down payment? 3 5 × โฑ50,000 = โฑ๐๐, ๐๐๐ b. How much did his mother give him? Amount from his mother = = 1 4 1 4 × down payment × โฑ30,000 = โฑ7,500 c. What fractional part of the total cost of the chair was the amount given him by his mother? ๐ด๐๐๐ข๐๐ก ๐๐๐ฃ๐ ๐๐ฆ โ๐๐ ๐๐๐กโ๐๐ ๐๐๐ก๐๐ ๐๐๐ ๐ก ๐๐ ๐โ๐๐๐ = โฑ7,500 ๐ = โฑ50,000 ๐๐ d. How much of the down payment was shouldered by Dr. Lopez? = Down payment – his mother’s share = โฑ30,000 – โฑ7,500 = โฑ22,500 e. What fractional part of the total cost of the chair was the down payment paid by Dr. Lopez? = ๐โ๐๐๐ ๐๐ ๐๐๐ค๐ ๐๐๐ฆ๐๐๐๐ก ๐๐ฆ ๐ท๐. ๐ฟ๐๐๐๐ง ๐๐๐ก๐๐ ๐๐๐ ๐ก ๐๐ ๐โ๐๐๐ = โฑ22,500 โฑ50,000 = ๐ ๐๐ f. What fractional part of the total cost of the chair would Dr. Lopez pay? = 1 − fractional part paid by his mother =1− 20 = 20 ๐๐ = ๐๐ 3 20 3 − 20 Exercises: 5 1. Jamie’s allowance is 7 of Cathy’s. If Jamie gets โฑ550, how much is the difference between their allowances? 1 2 hours. 2 2. Kim can finish a task in If she was asked to work for 35 hours, how many tasks can she finish? 3 14 kg 1 32 kg 3. Iris bought of rice at โฑ75 while Carm bought at โฑ160. Which of them paid less? By how much? 4. Bianca wishes to create 5 rectangular trays measuring 3 2 ft by 1 ft. If a square foot of board costs โฑ125, how 4 3 much would she spend for all the trays?
