Question

Divers in a competition are scored by an international panel of judges. The highest and the lowest scores are dropped. The total of the remaining scores is multiplied by the degree of difficulty of the dive. this product is multiplied by .6 to determine the final score.
A diversr's final score is 77.7 what is the degree of difficulty of a dive?

The scores are 7.5, 8.0, 6.5, 8.5, 7.0, 7.5, 7.0.

Answer 1

Let

x--------> the degree of difficulty of the dive

we know that

1) The highest and the lowest scores are dropped

so

highest scores=$8.5$

lowest scores=$6.5$

the remaining scores=$[7.5, 8.0, 7.0, 7.5, 7.0]$

2) Find the total of the remaining scores

$=[7.5+8+7+7.5+7]\\ =37$

3) The total of the remaining scores is multiplied by the degree of difficulty of the dive

so

$37*x$

4) This product is multiplied by .6 to determine the final score

$[37*x]*0.6=77.7\\ 22.2*x=77.7\\ x=3.5$

therefore

the answer is

the degree of difficulty of the dive is $3.5$

Answer 2

As the highest and lowest scores are dropped, start by putting the scores in order from lowest to highest. This tells you that 6.5 and 8.5 are dropped and the remaining scores (7 + 7 + 7.5 + 7.5 + 8) make 77.7. The final score is equal to the judges' scores multiplied by the dive's difficulty, multiplied by six. This can be written as s = 6(jd). With the question’s values: 77.7 = 6(37d). To start, divide both sides by 6: 12.95 = 37d. Then divide both sides by 37. 0.35 = d. The degree of difficulty is 0.35.