Understanding Ratios and Proportions in Marbles and Coins

The video tutorial explains how to solve two ratio problems. The first problem involves calculating the number of red and blue marbles in a jar given their ratio and total count. The second problem involves determining the difference in quantity between dimes and nickels in a jar, given the ratio of nickels, dimes, and quarters. The tutorial demonstrates setting up proportions and solving equations to find the answers.

What is the total number of marbles in the jar?

• 200

• 250

• 150

• 100

If the ratio of red to blue marbles is 3 to 5, what is the combined ratio including the total marbles?

• 3:5:8

• 3:5:10

• 5:3:8

• 5:3:10

How many red marbles are in the jar?

• 50

• 60

• 75

• 80

What is the number of blue marbles in the jar?

• 125

• 100

• 175

• 150

In the new problem, what is the ratio of nickels to dimes to quarters?

• 3:2:5

• 2:3:5

• 3:5:2

• 2:3:4

If there are 85 quarters, how many dimes are there?

• 45

• 60

• 51

• 55

How many nickels are in the jar?

• 30

• 34

• 40

• 44

What is the total number of coins in the jar?

• 190

• 180

• 170

• 200

How many more dimes are there than nickels?

• 19

• 15

• 21

• 17

Which option correctly represents the number of dimes minus the number of nickels?

• 18

• 17

• 16

• 15