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IceJOKER [234]
1 year ago
8

During a school event, there were 8 times as many pupils as teachers and there were three times as many boys as girls. There wer

e 70 fewer teachers than boys. How many people were there at the school event?
Mathematics
1 answer:
Lilit [14]1 year ago
3 0
We know that pupils are students

Students = S
boys = B
Teachers = T

So....

S = 8T
Boys = 3G
T = B - 70

Since there is 8x students than teachers, I did Boys = 6x and girls = 2x

I'm going to use this next: S = 8T

8x = 8(B -70)

8x = 8(6x - 70)

8x = 4x - 560

x = 14

We know there is 8x students, so there are 112 students and we know that there is 1/8 of teachers, so there are 14 teachers.

Answer = 126.
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AlexFokin [52]

Answer:

what is the question

Step-by-step explanation:

8 0
2 years ago
Bill is 2 years older than his brother Will. If the product of their ages is one less than five times the sum of their ages, how
Advocard [28]

Answer:

Will's age = 9 years

Bill's age = 11years

Step-by-step explanation:

Let will age = x

Bill = x +2 since he is 2 years older

x(x+2) = 5( x +x+2) - 1

Opening brackets

x² + 2x = 5(2x + 2) - 1

x² + 2x = 10x + 10 - 1

x² + 2x = 10x + 9

Collect like terms

x² + 2x - 10x - 9 = 0

x² - 8x - 9 = 0

Solve quadratically using factorisation method by finding two factors of +9 that can add up to give -8, the coefficient of x.

The factors are -9 and +1

x² + x - 9x - 9 = 0

x(x + 1) -9( x +1)

x+1) (x -9) =0

x + 1 = 0 or x -9 =0

x = -1 or 9

Age can not be negative

Therefore,

Will's age = 9 years

Bill's age = x+2 = 9+2 = 11years

I hope this was helpful, please rate as brainliest

6 0
2 years ago
The diagram the area of the large square is one square unit 2000 new segments divide a square into 4 equal sized triangles two o
sleet_krkn [62]
The answer is 0 because it cancels itself out
3 0
3 years ago
If a real estate agent earns 3% commissions and earned 4,350 on the closing of home what was the price of the home ?
ICE Princess25 [194]

Answer:

145 000

Step-by-step explanation:

4350 = 3%

1% = 1450

100% = 145 000

8 0
2 years ago
The difference of the square of a number and 36 is equal to 5 times that number. Find the positive solution.
exis [7]

Answer:

x=-4, x=9

Step-by-step explanation:

We write this into words:

difference = subtraction

square = ^2

a number = x

is equal to = =

5 times that number = 5x

x^2-36 = 5x

write in standard form

x^2-5x-36

what adds to -5 and multiplies to -36?

-9 and 4!

(x-9)(x+4)

x-9 = 0

x= 9

x+4 = 0

x=-4

3 0
2 years ago
Read 2 more answers
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