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Lesechka [4]
3 years ago
13

The ratio of boys to girls in the Science Club is 3.5. If there are 60 girls, how many boys are there?

Mathematics
1 answer:
liubo4ka [24]3 years ago
3 0

Answer:

36 boys

Step-by-step explanation:

                                                            3

Please write the ratio as 3:5 or as  --------

                                                             5

Note that 3 + 5 = 8, so that the fraction of boys in the club is 3/8 and that of girls is 5/8.  

How many are in the club altogether?  Let this count be represented by c.  Then (5/8)c = 60.

Multiplying both sides of this equation by (8/5), to isolate c, we get:

c = (8/5)(60) = 96.  Thus, there are 96 Science students altogether.

3/8 of this number are boys.  This comes out to (3/8)(96) = 36 boys.

We could also solve this problem in the following manner:

 3          b

------ = ------- , where b represents the number of boys.

  5        60

Then 5b = 180.  Dividing both sides by 5, we get b = 180/5 = 36 boys

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F(x)= x +4<br> g(x) = 3x<br> Work out the value of gf (5).
MrMuchimi

The value of gf(5) for the given two expressions is 135.

According to the question,

We have the following information:

f(x)= x +4

g(x) = 3x

Now, in order to find the value of gf(5), we will first find the value of gf.

Now, we will multiply these two expressions:

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Now, the terms outside the brackets need to multiplied inside the bracket:

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Hence, the value of gf(5) for the given two expressions of f(x) and g(x) is 135.

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