177k views
16 votes
Victor has 2 fraction models.Each is divided into equal sized sections the models are shaded to represent the same fraction.Model A is divided into 6 sections and 3 sections are shaded.Model B is divided into 12 sections select the true statement

User MrRobot
by
4.7k points

1 Answer

3 votes

Answer:

Model B has 6 shaded sections

Explanation:

The question is not complete. The complete question should be in the form:

Victor has 2 fraction models. Each is divided into equal sized sections the models are shaded to represent the same fraction. Model A is divided into 6 sections and 3 sections are shaded. Model B is divided into 12 sections. What do you know about the number of sections shaded in Model B? Explain your answer.

Solution:

The fraction modeled by model A is given by the ratio of shaded sections to the total number of sections.

That is Fraction of model A = number of shaded sections / total number of sections.

Hence:

Fraction of model A = 3 / 6

Since model B and Model A are equivalent, the number of shaded sections in Model A is given by:

number of shaded sections in model B/ total number of sections in model B = Fraction of model A

number of shaded sections in model B / 12 = 3 / 6

number of shaded sections in model B = 12 * 3/6

number of shaded sections in model B = 6

User Thomas Materna
by
4.6k points