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Kitty [74]
4 years ago
15

there are 48 students in a school play. the ratio of boys to girls is 5:7. how many more girls than boys are in the school play?

Explain your thinking
Mathematics
1 answer:
Alex Ar [27]4 years ago
3 0
We can use trial or error method here...

If we take 4 table, 4*5 = 20 and 4*7 = 28. 20+28 = 48.
20 : 28 = 5 : 7

So, there are 20 boys and 28 girls in a school play and there are 8 girls more than boys.

If you look over tables and try it out, only 4 table works for the given ratio.
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Answer:

a=29/42

Step-by-step explanation:

6a-1÷7=4

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add 1/7 to each side

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which is equal to

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divide both sides by 6

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Solution:  

Using Substitution Method:

-4x+7y=-5   (Equation 1)

x-3y=-5       (Equation 2)

get the value of x from Equation 2

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Put the value of x from Equation 3 in Equation 1

-4(3y-5)+7y=-5

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Putting value of y in equation 3

x=3(5)-5

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Therefore,   [x,y]=[10,5]

Using Elimination Method

-4x+7y=-5   (Equation 1)

x-3y=-5       (Equation 2)

Multiply equation 2 with -4 in order to eliminate the x term

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Adding Equation 1 and 3

-4x+7y=-5    

-4x+12y=20    

+    -     = -   (Change Of Sign with x and y terms)

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0x-5y = -25

-5y=-25

y=5  

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Cancellation of negative sign on both sides

x=40/4

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Step-by-step explanation:

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