Ethanol Concentration in Gasoline

The video tutorial explains how to determine the volume of gasoline with a 25% ethanol concentration needed to be added to a partially filled tank to achieve a 20% ethanol concentration. It begins by explaining the relationship between concentration and volume, calculates the initial ethanol volume, sets up an equation for the desired concentration, and solves it to find the required volume of gasoline to add.

What is the initial ethanol concentration in the partially filled tank?

• 25%

• 30%

• 20%

• 18%

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

How is concentration generally calculated?

• Volume of ingredient divided by total volume

• Volume of ingredient multiplied by total volume

• Total volume minus volume of ingredient

• Total volume divided by volume of ingredient

Tags

CCSS.3.MD.A.2

What is the initial volume of ethanol in the tank?

• 5.4 liters

• 9 liters

• 7.5 liters

• 6 liters

Tags

CCSS.6.EE.C.9

What variable is used to represent the volume of gasoline to be added?

• z

• y

• v

• x

Tags

CCSS.8.EE.C.7B

What is the desired ethanol concentration after adding more gasoline?

• 30%

• 25%

• 18%

• 20%

Tags

CCSS.HSA.CED.A.1

What is the equation used to find the new ethanol concentration?

• 0.18 = (5.4 + 0.25v) / (30 + v)

• 0.25 = (5.4 + 0.2v) / (30 + v)

• 0.3 = (5.4 + 0.2v) / (30 + v)

• 0.2 = (5.4 + 0.25v) / (30 + v)

Tags

CCSS.6.EE.B.7

What is the value of 'v' that solves the equation?

• 18 liters

• 15 liters

• 10 liters

• 12 liters

Tags

CCSS.3.MD.A.2

What is the new total volume of gasoline after adding the calculated volume?

• 45 liters

• 42 liters

• 48 liters

• 40 liters

Tags

CCSS.6.RP.A.3C

What is the new ethanol concentration after adding 12 liters of gasoline?

• 18%

• 20%

• 22%

• 25%

Tags

CCSS.6.RP.A.3C

What is the concentration of ethanol in the gasoline being added?

• 25%

• 20%

• 30%

• 18%

Tags

CCSS.6.RP.A.3C