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Sagot :
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- Solve each proportion.
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1) 6/8 = N/16
Switch Sides
[tex] \frac{n}{16} = \frac{6}{8} [/tex]
Cancel the common factor: 2
[tex] \frac{N }{16} = \frac{3}{4} [/tex]
Multiply both sides by 16
[tex] \frac{16N: }{16} = \frac{3 \: • \: 16 }{4} [/tex]
So the answer will be:
[tex] N= 12[/tex]
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2) N/9 = 21/27
Cancel the common factor: 3
[tex] \frac{N}{9} = \frac{7}{9} [/tex]
Multiply both sides by 9
[tex] \frac{9N}{9} = \frac{7 \: • \: 9}{9} [/tex]
So the answer will be:
[tex]N = 7[/tex]
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3) 5/N = 10/24
Cross multiply
[tex]120 = N \: • \: 10[/tex]
Switch Sides
[tex]N \: • \: 10 = 120[/tex]
Divide both sides by 10
[tex] \frac{N \: • \: 10}{10} = \frac{120}{10} [/tex]
So the answer will be:
[tex]N = 12[/tex]
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4) 9/2 = N/8
Switch Sides
[tex] \frac{N}{8} = \frac{9}{2} [/tex]
Multiply both sides by 8
[tex] \frac{8N}{8} = \frac{9 \: • \: 8 }{2} [/tex]
So the answer will be:
[tex]N = 36[/tex]
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5) 12/9 = 4/N
Cross Multiply
[tex]12N = 36[/tex]
Divide both sides by 12
[tex] \frac{12N}{12} = \frac{36}{12} [/tex]
So the answer will be:
[tex]N = 3[/tex]
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