Question 333862
Convert each percentage to decimal form to get 0.93, 0.89, 0.72, 0.80, and 0.96



Now let x = score on 6th test



So to find the average of the 6 tests, simply add them up and divide by 6 like so:


{{{(0.93+0.89+0.72+0.80+0.96+x)/6}}}



Now set that equal to the given average of 0.88 (88% in decimal form) to get



{{{(0.93+0.89+0.72+0.80+0.96+x)/6=0.88}}}



{{{(0.93+0.89+0.72+0.80+0.96+x)/6=0.88}}} Start with the given equation.



{{{0.93+0.89+0.72+0.80+0.96+x=0.88*6}}} Multiply both sides by 6.



{{{0.93+0.89+0.72+0.80+0.96+x=5.28}}} Multiply 0.88 and 6 to get 5.28



{{{4.3+x=5.28}}} Combine like terms.



{{{x=5.28-4.3}}} Subtract 4.3 from both sides.



{{{x=0.98}}} Combine like terms.



So the score on the 6th test must be a 98% (multiply 0.98 by 100 to convert it to a percentage) to get an average score of 88%