Survey %

[wind lion]

instead of trying to get a number immediately, use the variable x to stand in for "% of students who got 1/3" then fill in what you know:

let x = % of students got exactly 1 question correct

• 50% got 3/3
• 5% got 0/3
• what % got 1/3? (don't overthink this, it's x%)
• what % got 2/3? (x is inside the answer, don't expect to get a number yet)

since you now "know" what % of students got 0/3, 1/3, 2/3, 3/3, you can calculate the average from x
this is good because you know that the average is 2.3
so you end up with (your x calculation) = 2.3

algebra then allows you to work backwards and figure out what value of x will get you this average

by figuring out x, you fill in the variable and so can calculate the numbers for 1/3 and 2/3

[eternal flare]

im confused