Question

HELPPPPPP pls give explaiantikn or work pls pls pls pls brainliest

Answer 1

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 = $\frac{1}{6}x$

Remaining stamps = $x-\frac{1}{6}x = \frac{6x-1x}{6} = \frac{5}{6}x$

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

Number of stamps left = 20

Now,

$\frac{1}{6}x + \frac{1}{6}x + 20 = x\\\\\frac{1x+1x+120}{6} = x\\\\\frac{2x+120}{6} = x\\\\2x + 120 = 6x \\\\120 = 6x - 2x \\\\120 = 4x \\4x = 120$

Dividing both sides by 4

$\frac{4x}{4}=\frac{120}{4}\\x=30$

Hence,

Elizabeth had 30 stamps originally.