Tim was paid $1.50 for every toy he sold. He was paid an additional $5 as bonus for every 10 toys sold. He received a

total of $127.50 after selling some toys.
How many toys did he sell?

Let's assume Tim sold x toys.

Tim earned $1.50 for every toy sold, so he earned 1.5x dollars from those toy sales.
He also earned $5 as a bonus for every 10 toys sold, or $5/10 = $0.5 for every toy sold.
Therefore, he earned 0.5x dollars from those bonuses.
The total amount he earned is the sum of these two amounts: 1.5x + 0.5x = 2x dollars.
We know that the total amount he earned is $127.50, so 2x = 127.50.
Dividing both sides of the equation by 2, we find x = 127.50/2 = 63.75.
Since Tim cannot sell a fraction of a toy, we round down to the nearest whole number to find that Tim sold 63 toys. Answer: \boxed{63}.

Let's assume that Tim sold x toys.

For every toy sold, Tim was paid $1.50. So the total earnings from selling x toys can be found by multiplying the number of toys sold (x) by the payment per toy ($1.50):

Earnings from selling toys = $1.50 × x

In addition to the payment per toy, Tim also received a bonus of $5 for every 10 toys sold. Therefore, the total bonus received can be found by dividing the number of toys sold (x) by 10 and then multiplying by $5:

Total bonus received = ($5 / 10) × x = $0.50 × x

The total amount Tim received after selling some toys is given as $127.50. This total includes both the earnings from selling toys and the bonus received:

$127.50 = Earnings from selling toys + Total bonus received
$127.50 = ($1.50 × x) + ($0.50 × x)
$127.50 = $2.00 × x

To find the number of toys Tim sold (x), we can divide both sides of the equation by $2.00:

x = $127.50 / $2.00

Calculating this, we find:

x = 63.75

However, the number of toys sold must be a whole number, so we need to round this down to the nearest whole number:

x ≈ 63

Therefore, Tim sold approximately 63 toys.