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HELPPPPPP Pls Give Explaiantikn Or Work Pls Pls Pls Pls Brainliest class=

Sagot :

absor201

Answer:

Elizabeth had 30 stamps originally.

Step-by-step explanation:

Let,

x be the number of stamps Elizabeth have.

Number of stamps given to John = 1/6 of x = [tex]\frac{1}{6}x[/tex]

Remaining stamps = [tex]x-\frac{1}{6}x = \frac{6x-1x}{6} = \frac{5}{6}x[/tex]

Stamps given to Peter = 1/5 of remainder = [tex]\frac{1}{5}*\frac{5}{6}x = \frac{1}{6}x[/tex]

Number of stamps left = 20

Now,

[tex]\frac{1}{6}x + \frac{1}{6}x + 20 = x\\\\\frac{1x+1x+120}{6} = x\\\\\frac{2x+120}{6} = x\\\\2x + 120 = 6x \\\\120 = 6x - 2x \\\\120 = 4x \\4x = 120[/tex]

Dividing both sides by 4

[tex]\frac{4x}{4}=\frac{120}{4}\\x=30[/tex]

Hence,

Elizabeth had 30 stamps originally.

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