Answer:
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.
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
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