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RideAnS [48]
3 years ago
15

Half of the students in an International School are Americans. One third of the remaining students are Europeans, and the rest a

re Australians. If there are 150 Australians, how many students are in the school?
Mathematics
2 answers:
Darya [45]3 years ago
6 0

Answer:

There are 450 students.

Step-by-step explanation:

Let's call

s = total number of students

am = American students

eu = European students

au = Australian students

<em>Half of the students in an International School are Americans.</em> Then,

1/2 s = am [1]

<em>One third of the remaining students are Europeans.</em>

The remaining students are s - 1/2 s = 1/2 s

1/3 × (1/2 s) = 1/6 s = eu  [2]

<em>There are 150 Australians.</em>

au = 150 [3]

The total number of students is the sum of Americans, Europeans and Australians.

am + eu + au = s

Replacing [1], [2] and [3].

1/2 s + 1/6 s + 150 = s

2/3 s + 150 = s

1/3 s = 150

s = 450

Kazeer [188]3 years ago
3 0

Answer:

450 students

Step-by-step explanation:

Let s = number of students

1/2 are Americans  1/2s are Americans

s -1/2s = number of students left

1/2 s = number of students left

1/3 of the students left are Europeans

1/3 (1/2s) = 1/6s  are Europeans

The rest are Australians = 150

Students = Americans + Europeans + Australians

   s          =   1/2s          +    1/6s    + 150

Combine like terms

s    = 1/2*3/3 *s + 1/6s +150

s = 3/6s + 1/6s +150

s = 4/6s + 150

Subtract 4/6s from each side

s -4/6s = 150

6/6s - 4/6s = 150

2/6s = 150

1/3s = 150

Multiply each side by 3

3* 1/3s = 150*3

s = 450

There are 450 students

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ryzh [129]

The equivalent expression to given expression is: -15h-8

Step-by-step explanation:

We can simplify the given expression to find an equivalent expression.

Given expression is:

-2(1.5h+5)-4(-0.5+3h)

So by using distributive property

=-3h-10+2-12h\\=-15h-8

Hence,

The equivalent expression to given expression is: -15h-8

Keywords: Equivalent expressions, Polynomials

Learn more about polynomials at:

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Train X is traveling at a constant speed of 30 miles per hour and Train Y is traveling at a constant speed of 40 miles per hour.
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Answer:

3.5 hours

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Using the formula

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What is Qualitative Data and what is the discreate and Continuous in qualitative data?
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Answer:

Qualitative data is the data that is not represented by numbers, for example, favorite food or country.

On the other hand, the quantitative data is represented by numbers and it is classified as discrete and continuous. The discrete data is the data that only can take specific values, for example, the number of people is always a whole number, there can't be 5.5 people. The continuous data is the data that can take decimal values, for example, the mass of an object can be 4.06 kg.

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1 year ago
What is the probability of rolling a four then a three
spayn [35]

Answer:

\frac{1}{36}

Step-by-step explanation:

Total possibilities when we a roll a die at a time are 6

given we should have four for first time and then three

let us assume we rolled the dice we may get 1,2,3,4,5,6(any of these) the probability to get 4 is

PROBABILITY=\frac{\textrm{FAVOURABLE CHANCES}}{\textrm{TOTAL CHANCES}}

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