Question

Brandon took a 50-question exam worth a total of 160 points. There were x two-point questions and y five-point questions.

Answer 1

Answer:

there were 20 two point questions =

there were 30 five point questions

Step-by-step explanation:

Brandon took a 50-question exam worth a total of 160 points. There were x two-point questions and y five-point questions. How many of each type of question were on the exam?

x + y = 50 eqn 1

2x + 5y = 160 eqn 2

this can be solved using simultaneous equation

multiply eqn 1 by 2

2x + 2y = 100 eqn 3

subtract eqn 3 from 2

3y = 60

y = 20

Substitute for y in eqn 1

x + 30 = 50

x = 20