Question

You want to prepare a test that contains 20 questions worth 50 points overall. How many 2-point and 4-point questions can you include in the test?



5, 10



10, 10



12, 8



15, 5

Answer 1

can any one help me set up the equation?

Answer 2

@Jack1

Answer 3

heya
so total number of questions = 20
X = number of 2 point questions
Y = number of 4 point questions
so X + Y = 20 questions ==> first equation

Answer 4

now, you also want 50 points overall
so number of points = X times 2 (number of 2 point questions... times 2 = total number of points from the 2 point questions)
+
Y times 4 (number of 4 point questions... times 4 = total number of points from the 4 point questions)
so 50points total = 2X + 4Y
50 = 2X + 4Y ==> 2nd equation

Answer 5

so rearrange equation 1 to read X = something

then substitute the something into equation 2

then solve ;)

Answer 6

how did u go @littel_red ? makin sense, need help on any of it...?

Answer 7

i got it thanks it helped

Answer 8

sweet, np ;)