Understanding Proportions and Cross Products

The video tutorial explains how to solve proportions using cross products. Leonard the Leprechaun needs to sell his pot of gold, which contains shamrocks and coins in a 3:2 ratio. Given 36 coins, the tutorial demonstrates setting up ratios and using cross products to find the total number of items in the pot, which is 90. The process involves establishing equivalent ratios and solving for the unknown variable.

What is the ratio of Shamrocks to Coins in Leonard's pot?

• 1 to 1

• 3 to 2

• 5 to 2

• 2 to 3

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

If there are 36 coins, what variable is used to represent the total number of items in the pot?

• s

• c

• i

• t

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

How is the ratio of Coins to Total Items expressed as a fraction?

• 5/3

• 2/5

• 3/5

• 5/2

Tags

CCSS.6.RP.A.3A

What is the equivalent ratio of Coins to Total Items?

• 2/3

• 3/2

• 5/2

• 2/5

Tags

CCSS.5.NBT.B.5

What is the result of multiplying 36 by 5 in the cross product method?

• 210

• 180

• 150

• 200

Tags

CCSS.HSN.CN.A.2

What is the final value of 'i' after solving the equation?

• 80

• 85

• 90

• 95

Tags

CCSS.RI.6.2

CCSS.RI.7.2

CCSS.RI.8.2

CCSS.RL.7.2

CCSS.RL.8.2

What does Leonard plan to do after selling his pot of gold?

• Invest in stocks

• Save the money

• Buy more green

• Buy more gold

Tags

CCSS.RI.6.2

CCSS.RI.7.2

CCSS.RI.8.2

CCSS.RL.6.2

CCSS.RL.8.2