University:
Montgomery College
Course:
MATH 130: Elements of Mathematics I: Mathematical Reasoning and Number Systems
Academic year:

2023
Views:

348

Pages:

1
Author:

sapela015a

Mini-Lecture 2.8 Further Problem Solving Learning Objectives: 1. Solve problems involving distance. 2. Solve problems involving money. 3. Solve problems involving interest. Examples: 1. How long will it take a car traveling 60 miles per hour to overtake an activity bus traveling 45miles per hour if the activity bus left 2 hours before the car? r D t Car 60 mph 60x x Activity Bus 45 mph 45(x + 2) x+2 2. A collection of dimes and quarters and nickels are emptied from a drink machine. There were four times as many dimes as quarters, and there were ten less nickels than there were quarters. If the value of the coins was$19.50, find the number of quarters, the number of dimes, and the number of nickels. Quarters Dimes Nickels Entire Collection Number x 2x x - 10 Value of each 0.25 0.10 0.05 Total value 0.25x 0.10(2x) 0.05(x – 10) $19.50 40 @ 0.25=$10.00 80 @ 0.10=$$8.00 30 @ 0.05=$1.50 $19.50 3. Jeff received a year end bonus of $80,000. He invested some of this money at 8% and the rest at 10%. If his yearly earned income was $7,300, how much did Jeff invest at 10%? Use the following table to model the situation. 8% Fund 10% Fund Total Principal x 80,000 - x 80,000 · Rate 0.08 0.1 · Time 1 1 = Interest 0.08x 0.01(50,000 – x) 7,300 Teaching Notes: • • Most students find problem solving challenging. Encourage students to make a list of all appropriate formulas. Each section in the text has 3 worksheets in the Extra Practice featuring differentiated learning. Answers: 1) 6 hours; 2) Number of Quarters = 40, Number of dimes = 80, number of nickels = 303; 3) $45,000