College

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 :

Answer:

2t + 4f = 100

t+f =42

Step-by-step explanation:

t= two point questions

f =four point questions

2t + 4f = 100

t+f =42

there are 34 two point questions and 8 four point questions

to solve multiply the second equation by -2

-2t -2f = -84

add this to 2t +4f = 100

2t + 4f = 100

-2t -2f = -84

-----------------------

2f = 16

divide by 2

f = 8

there are 8 four point questions

t+f=42

t+8 = 42

subtract 8

t = 34

there are 34 2 point questions

Answer:

2t + 4f = 100


t+f =42

Step-by-step explanation:

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