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victus00 [196]
3 years ago
14

the senior class at high school A rented and filled 12 vans and 3 buses with243 students. high school B rented and filled 4 vans

and 4 buses with 204 students. each van and each bus carried the same number of students. Find the number of students in each van in each bus.
Mathematics
1 answer:
bezimeni [28]3 years ago
5 0
12v + 3b = 243
4v + 4b = 204....multiply by -3
-------------------
12v + 3b = 243
-12v - 12b = - 612 (result of multiplying by -3)
-------------------add
-9b = - 369
b = -369/-9
b = 41 <=== each bus holds 41 students

4v + 4b = 204
4v + 4(41) = 204
4v + 164 = 204
4v = 204 - 164
4v = 40
v = 40/4
v = 10 <== each van holds 10 students

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Ilia_Sergeevich [38]

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8 0
3 years ago
Read 2 more answers
the price of an article is Marked 25% above the cost price .if it is solid the profit of Rs.500 after allowing 15% discount .wha
gavmur [86]

Answer:

  Rs 8500

Step-by-step explanation:

For a cost price of c, the marked price is ...

  marked = c +25%·c = 1.25c

After the 15% discount, the sale price will be ...

  s = marked -15%·marked = 0.85·marked = (0.85)(1.25c) = 1.0625c

The profit will be the difference between the sale price s and the cost c:

  p = s -c

  500 = (1.0625c) -c = 0.0625c

Then the cost is ...

  500/0.0625 = c = 8000

and the sale price is ...

  s = c +p = 8000 +500 = 8500 . . . rupees

The selling price will be Rs 8500.

8 0
2 years ago
Two independent simple random samples are taken to test the difference between the means of two populations whose variances are
My name is Ann [436]
I think it’s 72 degrees of freedom
3 0
3 years ago
Disney held a breakfast for parents and their children to eat with Mickey and Minnie MouseAdult tickets cost $17.95 and children
ratelena [41]
This is a problem for 2 equations and 2 unknown.
so let x be the number of adults in the breakfast
y be the number of children present in the breakfast

so the total people attended is 500, in equation form
x + y = 500

and the total sales made by disney is $ 7355, in equation
17.95x + 12.95y = 7355

so we can solve the equation simultaneously so solve for the values of x and y

so the number of adults at the breakfast x = 176 adults and y = 324 children 
5 0
3 years ago
When 3^2 – 2 + 7 is subtracted from 5^3 – 4^2 + 10, what is the difference?
xxTIMURxx [149]
The difference is 105
3^2 - 2 + 7 =
(3 x 3) - 2 + 7 =
9 - 2 + 7 = 14

5^3 - 4^2 + 10 =
( 5 x 5 x 5) - ( 4 x 4) + 10
125 - 16 + 10 = 119

119 - 14 = 105
6 0
3 years ago
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