Exploring L3 Equivalent Ratios

This video tutorial introduces the use of tape diagrams to find equivalent ratios. It provides examples involving Mason and Laney's running laps, Josie's test results, and a bag of mixed nuts. The tutorial emphasizes the importance of setting up tape diagrams based on given ratios and using division to find values in each box. It aims to help students understand and apply tape diagrams to solve ratio problems effectively.

What is the purpose of using tape diagrams in mathematics?

• To calculate derivatives

• To solve algebraic equations

• To graph functions

• To visualize and solve ratio problems

If Mason ran 8 miles, how far would Laney run using the ratio 2:3?

• 10 miles

• 12 miles

• 6 miles

• 14 miles

How many miles would Mason run if Laney ran 1860 miles?

• 2480 miles

• 1240 miles

• 1440 miles

• 1120 miles

If Josie answered 72 questions correctly, how many did she miss?

• 12 questions

• 8 questions

• 20 questions

• 16 questions

Calculate the total number of questions if Josie missed 10.

• 110 questions

• 100 questions

• 90 questions

• 120 questions

What is the ratio of incorrect to correct answers if Josie got 45 questions right and missed 10?

• 2:7

• 1:5

• 1:4

• 2:9

What is the total number of questions on the test if Josie missed 40?

• 450 questions

• 200 questions

• 180 questions

• 220 questions

If there are 108 cashews in the bag, how many walnuts are there?

• 85 walnuts

• 80 walnuts

• 90 walnuts

• 100 walnuts

Using a ratio of 5:6, how many walnuts are there if there are 72 cashews?

• 60 walnuts

• 70 walnuts

• 75 walnuts

• 65 walnuts

If the ratio of walnuts to cashews is 5:6 and there are 90 cashews, how many walnuts are there?

• 70 walnuts

• 85 walnuts

• 80 walnuts

• 75 walnuts