A figure skater needs a total score of at least 90 to move on to the next round. Her total score is the average of four judges' scores. The first three judges' scores were 83, 88, and 92. The figure skater found out she made it to the next round.

What is the minimum score the fourth judge could have given her?

Question

Regina Moran

Mathematics

10 August, 09:45

A figure skater needs a total score of at least 90 to move on to the next round. Her total score is the average of four judges' scores. The first three judges' scores were 83, 88, and 92. The figure skater found out she made it to the next round.

What is the minimum score the fourth judge could have given her?

+5

Answers (1)

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Karlie Robinson · Answer 1

(83 + 88 + 92 + x) / 4 > = 90

(263 + x) / 4 > = 90 ... multiply both sides by 4, eliminating the 4 on the left

263 + x > = 90 * 4

263 + x > = 360

x > = 360 - 263

x > = 97 ... the minimum score would be 97