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VikaD [51]
3 years ago
11

In a school one-third of all 240 students play soccer. Forty four students play both soccer and basketball and sixty students do

not play any of these games. How many students play only basketball?
Mathematics
1 answer:
stiv31 [10]3 years ago
7 0

Answer:

100 students play only basketball.            

Step-by-step explanation:

We are given the following information in the question:

Total number of students in school = 240

Number of students that play soccer =

\dfrac{1}{3}\times \text{Total number of students}\\\\=\dfrac{1}{3}\times 240 = 80

n(S) =80

n(S\cap B) = 44

n(S'\cap B') = 60

Formula:

n(S\cup B) = \text{Total} - n(S' \cap B')\\n(S\cup B) = n(S) + n(B) - n(S\cap B)

Putting the values, we get,

n(S\cup B) =240-60=180\\n(S\cup B) = 180 = 80 - 44 + n(B)\\n(B) = 180 - 80 + 44= 144

Thus, 144 students play  basketball.

Out of these 144, 44 plays soccer as well.

\text{Student only playing basketball} = 144 -44 = 100

Thus, 100 students play only basketball and not soccer.

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6 0
3 years ago
What is the solution to this equation 5x -8(x + 5)= 6-3x
Solnce55 [7]

Answer:

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Step-by-step explanation:

5x - 8(x + 5) = 6 - 3x

Remember to follow PEMDAS. Note the equal sign, what you do to one side, you do to the other.

First, distribute -8 to all terms within the parenthesis

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Simplify. Combine like terms

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0 = 46 ; False 0 ≠ 46 ∴ no solution is your answer

~

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