Understanding Ratios and Proportions

This lesson focuses on solving problems using equivalent ratios. It includes various exercises involving real-life scenarios such as hotel room occupancy, workout routines, financial management, and student class placements. The lesson emphasizes the use of tape diagrams to visualize and solve ratio problems effectively.

What is the main focus of the lesson introduced at the beginning?

• Learning about fractions

• Studying geometry

• Understanding equivalent ratios

• Solving algebraic equations

If the ratio of occupied to unoccupied rooms on Saturday is 2:5, what does this imply?

• For every 5 rooms, 2 are occupied

• For every 7 rooms, 5 are occupied

• For every 2 occupied rooms, there are 5 unoccupied rooms

• For every 5 occupied rooms, there are 2 unoccupied rooms

How many unoccupied rooms are there on Saturday night if there are 432 occupied rooms on Sunday night?

• 432

• 360

• 144

• 72

What was Peter's original ratio of sit-ups to push-ups before his injury?

• 1:7

• 7:1

• 5:3

• 3:5

How many push-ups did Peter complete before his injury?

• 8

• 24

• 40

• 56

What was the ratio of Tom's money to Rob's money before the bet?

• 8:3

• 3:8

• 4:7

• 7:4

How many bikes were ordered in the new order if 64 scooters were originally ordered?

• 32

• 48

• 80

• 64

What was the initial ratio of advanced to regular math students before placement tests?

• 4:7

• 3:8

• 5:2

• 2:5

If 75 students were in art class second semester, how many were in gym class first semester?

• 175

• 200

• 150

• 225

What is a helpful strategy when solving problems with changing ratios?

• Using algebraic equations

• Drawing before and after tape diagrams

• Memorizing ratios

• Using a calculator