Question

Tiffany is taking a 42-question test worth 100 points. The test includes two-point and four-point questions. How many of each type of question are on the test?

Which equations represent the scenario, where t represents the number of two-point questions and f represents the number of four-point questions? Check all that apply.
A. t + f = 42
B. t + f = 100
C. 2t + 4f = 42
D. 2t + 4f = 100
E. 4t + 2f = 100

Answer 1

it's A and D good luck

Answer 2

A., D.

Explanation:

Let t = number of two-point questions.

Let f = number of four-point question.

First we deal with the number of questions.

There are 42 questions. All the questions are either 2-point questions or 4-point questions.

t + f = 42

Now we deal with the number of points.

t two-point questions are worth 2t points.

f four-point questions are worth 4f points.

Altogether, they are worth 2t + 4f points.

The total number of points is 100, so

2t + 4f = 100

The system of equations has the equations:

t + f = 42

2t + 4f = 100

Answer: A., D.