Question

The swimming team has competed in 45 races this season. They have won 30 races so far. How many races will the team need to win today for the team to have a 75% success rate? 8 10 12 15.

Answer 1

The number of races the team need to win today for the team to have a 75% success rate is 15

Number of attempt = 45

Number of winnings = 30

Percentage won so far = 30/45 × 100

= 66.67%

let

x = Number of races that tfe team needs to win to have 75% success rate

(30 + x) / (45 + x) = 0.75

Cross product

30 + x = 0.75(45 + x)

30 + x = 33.75 + 0.75x

x - 0.75x = 33.75 - 30

0.25x = 3.75

x = 3.75 / 0.25

x = 15

Therefore, the number of races the team need to win today for the team to have a 75% success rate is 15

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