jorge took less than twice as may trows as shauna took twice as many as kenyadid ,and toni took two less than jorge .the mean avrage number of trows for rge 4 students is 4 and a half.
Please proofread your question before you post it. For example, how many less "than twice as may trows as shauna"?
Repost in clearer terms.
set shauna =x
jorge = 2x-1
kenya= 2x
tony= 2x-3
(x+2x-1+2x+2x-3)/4=4.5
(7x-4)=4.5
shauna=3 1/7
jorge=5 2/7
kenya=6 2/7
tony=3 2/7
To solve this problem, we will create equations based on the given information and then solve them step by step.
Let's assume that Kenyadid took x throws. According to the information provided, Shauna took twice as many throws as Kenyadid, so Shauna took 2x throws. Jorge took less than twice as many throws as Shauna, which means Jorge took less than 2 * 2x = 4x throws. Finally, Toni took two less than Jorge, so Toni took 4x - 2 throws.
The mean average number of throws for the four students is 4.5. To find the average, we need to sum up the number of throws for each student and divide it by the number of students, which in this case is 4.
Sum of throws = Kenyadid's throws + Shauna's throws + Jorge's throws + Toni's throws
Since the mean average is given as 4.5, we can write the equation as:
(Kenyadid's throws + Shauna's throws + Jorge's throws + Toni's throws) / 4 = 4.5
Now, let's substitute the values we found earlier into this equation:
(x + 2x + 4x + 4x - 2) / 4 = 4.5
Simplifying this equation, we get:
(11x + 2) / 4 = 4.5
Multiplying both sides by 4:
11x + 2 = 18
Subtracting 2 from both sides:
11x = 16
Dividing both sides by 11:
x = 16 / 11
So, Kenyadid's number of throws is approximately 1.45 (rounded to two decimal places).
To find out how many throws each student took, we can substitute this value into our previous equations:
Shauna took 2x = 2 * 1.45 = 2.9 throws
Jorge took less than 4x = less than 4 * 1.45 = less than 5.8 throws
Toni took 4x - 2 = 4 * 1.45 - 2 = 4.8 throws
Therefore, the number of throws for each student is approximately:
Kenyadid: 1.45 throws
Shauna: 2.9 throws
Jorge: less than 5.8 throws
Toni: 4.8 throws
Please note that the number of throws for Jorge is not specified in the given information, so we can only say that it is less than 5.8 throws.