Question

Your teacher is giving you a test worth 100 points containing 40 questions. there are two-point and four-point questions on the test. let the number of two-point questions be x and the number of four-point questions be y. how many of each type of question are on the test?

Answer 1

t=30 f=10

Explanation:

t= 100*1 - 40*4 = 30

2*1 - 1*4

f= 2*40 - 1*100 = 10

2*1 - 1*4

t=30 f=10

Answer 2

x + y = 40....x = 40 - y
2x + 4y = 100

2(40 - y) + 4y = 100
80 - 2y + 4y = 100
-2y + 4y = 100 - 80
2y = 20
y = 20/2
y = 10 <=== there are 10 four-point q's

x + y = 40
x + 10 = 40
x = 40 - 10
x = 30 <=== there are 30 two-point q's