Gale's grade in science for the term is determined by the average of five test grades. His first four grades are 80 , 95,78 , and 90 . To get a B for the term, Gale needs to have an average of 84 . What grade must Gale get on the next test to get a B for the term? Write an inequality to solve.Show your work.
Q. Gale's grade in science for the term is determined by the average of five test grades. His first four grades are 80 , 95,78 , and 90 . To get a B for the term, Gale needs to have an average of 84 . What grade must Gale get on the next test to get a B for the term? Write an inequality to solve.Show your work.
Add Grades: Add up Gale's first four grades: 80+95+78+90.
Calculate Total: Calculate the total sum of the first four grades: 80+95+78+90=343.
Find Average: To find the average of five test grades, the sum of all five grades must be divided by 5. Gale needs an average of 84, so the total sum of all five grades must be 84×5.
Calculate Needed Total: Calculate the total sum needed for five grades to get an average of 84: 84×5=420.
Subtract Sum: Subtract the sum of the first four grades from the total sum needed: 420−343.
Calculate Needed Grade: Calculate the grade needed on the fifth test: 420−343=77.
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