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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.

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. $\newline$ Show your work.

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Multi-step problems with unit conversions

Full solution

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.

\newline

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 $84 \times 5$ .
Calculate Needed Total: Calculate the total sum needed for five grades to get an average of $84$ : $84 \times 5 = 420$ .
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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