Ratios and Problem Solving

Vincent introduces ratio word problems and solves two examples. The first problem involves finding the number of boys in a school given a ratio of boys to girls and the total number of students. Vincent demonstrates two methods: using a variable to represent the ratio and the part over whole method. The second problem involves a basketball free throw contest, where Vincent finds the number of shots made by each participant using a given ratio and additional information. The video concludes with a call to action for viewers to like and subscribe.

What is the main topic discussed in the video?

• Calculus concepts

• Ratio word problems

• Algebraic equations

• Geometry problems

In the first problem, what is the ratio of boys to girls?

• 10 to 11

• 9 to 12

• 11 to 10

• 12 to 9

How many students are there in total in the first problem?

• 575

• 550

• 525

• 500

What is the value of x when solving the first problem using the method of multiplying by x?

• 25

• 27

• 22

• 20

How many boys are there in the school according to the first problem?

• 250

• 275

• 300

• 225

What is the total number of girls in the school in the first problem?

• 275

• 225

• 250

• 300

What is the alternate method used to solve the first problem?

• Trial and error

• Cross multiplication

• Graphical method

• Part over whole

In the second problem, what is the ratio of shots made by Sam to Will?

• 9 to 7

• 7 to 9

• 8 to 10

• 10 to 8

How many more shots did Will make than Sam in the second problem?

• 6

• 8

• 7

• 5

What is the value of x in the second problem after solving the equation?

• 22

• 19

• 20

• 21