Understanding the Lollipop and Candy Cost Problem

In this video, Professor Ângela presents a mathematical challenge involving the cost of a lollipop and a candy. The problem is set up using two equations with two variables, representing the costs. The video demonstrates solving these equations using substitution to find the cost of each item. The lollipop costs one real more than the candy, and through calculations, it's shown that the candy costs five cents, while the lollipop costs one real and five cents. The video concludes with advice on tackling similar mathematical challenges.

What is the initial cost difference between the lollipop and the candy?

• 1 real

• 50 cents

• 1.10 real

• 10 cents

What is the total cost of the lollipop and the candy together?

• 1 real

• 1.10 real

• 2 reals

• 50 cents

If we let 'p' represent the lollipop and 'b' represent the candy, what is the equation for their combined cost?

• p + b = 2 reals

• p + b = 1.10 real

• p + b = 1 real

• p + b = 50 cents

How do we express the cost of the lollipop in terms of the candy?

• p = b + 50 cents

• p = b + 1 real

• p = b + 1.10 real

• p = b + 10 cents

What method is used to solve the system of equations in this problem?

• Substitution

• Graphing

• Elimination

• Matrix

What is the simplified equation after substituting the value of 'p'?

• 2b = 1.10 real

• 2b = 10 cents

• 2b = 1 real

• 2b = 50 cents

What is the cost of one candy after solving the equation?

• 50 cents

• 1 real

• 10 cents

• 5 cents

What is the cost of the lollipop after finding the cost of the candy?

• 1.05 real

• 1 real

• 50 cents

• 1.10 real

What is the final step to ensure the solution is correct?

• Rechecking the equations

• Verifying the total cost

• Both a and b

• None of the above

What should you be cautious about when solving similar problems?

• Misinterpreting the problem

• Ignoring the given information

• All of the above

• Using incorrect methods