Question

Trevor has two fraction models, each divided into equal-sized sections. The

fraction represented by Model A is less than the fraction represented by
Model B. Model A is divided into 100 sections and 72 sections are shaded.
Model B is divided into 10 sections. Which statement is true about Model
B?

Answer 1

I will answer in a general way because the options are not given.

We know that the area of model A is smaller than the area of model B.

For model A, we have 72 shaded sections, out of 100.

Then the quotient of model A is:

72/100 = 0.72

For model B we have 10 sections, and x shaded ones.

Because model B is greater than model A, we know that:

x/10 should be larger than 72/100

then we have the inequality:

x/10 > 0.72

x > 0.72*10

x > 7.2

And we can not have more than 10 shaded sections (because there is a total of 10 sections) then:

10 ≥ x > 7.2

Then x can be any whole number in that interval.

the possible values of x are:

x = 8

x = 9

x = 10