Question 104224
Let x = Angela's score on the 5th test, then (x-7) is her score on the 6th test.
To find the average score, you add the six scores and divide by 6.
{{{(80+88+82+93+x+(x-7))/6 = 86}}} Add the numbers in the numerator and then multiply both sides by 6.
{{{343-7+2x = 516}}}
{{{336 + 2x = 516}}} Subtract 336 from both sides.
{{{2x = 180}}} Divide both sides by 2.
{{{x = 90}}} This is Angela's score on the 5th test.
{{{x-7 = 83}}} This is Angela's score on the 6th test.
Check:
{{{(80+88+82+93+90+83)/6 = 516/6}}} = {{{86}}}