Question 119468
Let T=number of 2 point questions
Let F=number of 4 point questions
1.{{{T+F=40}}} Total number of questions is 40.
2.{{{2T+4F=100}}} Total point value is 100.
From 1,
{{{T+F=40}}}
{{{T=40-F}}}
Substitute that value into 2.
{{{2T+4F=100}}}
{{{2(40-F)+4F=100}}}
{{{80-2F+4F=100}}}
{{{80+2F=100}}}
{{{2F=20}}}
{{{F=10}}}
From 1,
{{{T=40-F}}}
{{{T=40-10}}}
{{{T=30}}}
There are 30 2 point questions and 10 4 point questions.