Find the increase in price of a single piece of design, when crafts design price is increased by 45% which makes a buyer to buy 8 design less, for $500?

The increase in price of a single piece of design is; Increase < $19.395

The new price can be represented as 145% the old price.

Let the initial price be x;

Therefore, the problem statement can be written as;

The former price is therefore 45% of $43.1;

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Original price = $43.10, Increase = $19.40, Final price = $62.50

Step-by-step explanation:

Let x represent the original price, then

8x(1.45) < $500

x < $43.10

Increase is 0.45x

0.45($43.10)

= $19.40

Final price is Original + Increase

$43.10 + $19.40

= $62.50