gayle started with 30 pairs of shoes and donated X pairs. Her sister Bonnie started with 22 pairs of shoes and donated half as many pairs as Gayle did. How many pairs of shoes did Gayle donate if they had the same number of shoes remaining

Gayle donated 16 shoes

Number of shoes Gayle has after the equation can be represented with this equation : 30 - x

Where x = number of shoes she donated

Number of shoes Bonnie donated = 0.5x

Number of shoes Bonnie has after the equation can be represented with this equation : 22 - 0.5x

If Bonnie and Gayle ended with the same amount of shoes after the donation, this can be represented as:

30 - x = 22 - 0.5x

Combine similar terms

30 - 22 = x - 0.5x

8 = 0.5x

Divide both sides of the equation by 0.5

x = 16

A similar question was solved here:

16 pair of shoes

Step-by-step explanation:

If Gayle donated x pairs, it means he is left with 30 - x pair of shoes.

Bonnie donated half as many as Gayle as donated.

We know Gayle donated x pairs, so Bonnie must have donated x/2.

Bonnie is left with 22 - (x/2) pairs after donation.

The question says, after donation they have the same number of pair of shoes.

It means, 30 - x = 22-(x/2),

If you will manipulate this equation and make x the subject,

you will get x=16.

I hope it helps.