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Nataliya [291]
2 years ago
8

Jane has a average score of 73% on three quizzes. What must she score on the next quiz to have an average of 78%?

Mathematics
1 answer:
Ket [755]2 years ago
4 0

Answer:

93

Step-by-step explanation:

The average is calculated as

average = \frac{sum}{count}

On 3 quizzes

\frac{sum}{3} = 73 ( multiply both sides by 3 )

sum = 219

On 4 quizzes, letting x be the score on fourth test

\frac{sum+x}{4} = 78 ( multiply both sides by 4 )

sum + x = 312 , that is

219 + x = 312 ( subtract 219 from both sides )

x = 93

She must score 93 on the next quiz

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