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melisa1 [442]
2 years ago
4

The ratio of boys to girls in a group is 3:1. If there are 28 more boys than girls, work out how many people there are in total

help plz
Mathematics
2 answers:
Doss [256]2 years ago
6 0

Answer:

35

Step-by-step explanation:

3x=28

x=7

no.of total students=35

n200080 [17]2 years ago
3 0
3+1=4
28/4=7
3*7=21
1*7=7
28+7=35
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Answer:

Let's define the variables:

A = number of seats in section A.

B = number of seats in section B.

C = number of seats in section C.

We have the equations:

A + B + C = 45,000.

C - 300 = B/2

A*$28 + B*$24 + C*$20 = $1,139,200

This is a system of equations, the first step to solve this is to isolate one variable in one of the equations, and then replace it in the others.

I will isolate C in the second equation:

C = B/2 + 300.

Now let's replace this in the other two equations:

A + B + B/2 + 300 = 45,000

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Let's simplify these equations:

A + B*(3/2) = 44,700

A*$28 + B*$34 + $6,000 = $1,139,200

Now let's isolate A in the first equation:

A = 44,700 - B*(3/2)

Let's replace this in the other equation:

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Now let's solve this for B.

-B*$8 + $1,252,200 = $1,139,200

-B*$8 =  $1,139,200 - $1,252,200  = -$113,000

B = $113,000/8 = 14,125

Now we can replace that in the equations:

A =  44,700 - B*(3/2) =  44,700 - 14,125*(3/2) = 23,512.5, that we should round up to 23,513.

And C = B/2 + 300 = 7362.5

As we rounded the previous one up, we should round this one down to 7362.

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Answer:

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Larry says 5 × 900 is less than 5 × 9,000.

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