Final answer:
Abby needs to sell 9 boxes of her handmade cards at $10 per box to earn a $50 profit after spending $40 on supplies.
Step-by-step explanation:
Finding the Number of Boxes to Earn $50:
To calculate the number of boxes Abby must make and sell to earn a profit of $50 after spending $40 on supplies, we need to set up an equation. Let x represent the number of boxes she needs to sell. We know that she sells each box for $10, so the revenue from selling x boxes is $10x. Abby wants to earn $50 in addition to recovering the $40 she spent on supplies. This means her total earnings need to be $50 + $40 which equals $90.
So, the equation we need to solve is:
10x - 40 = 50
Adding 40 to both sides:
10x = 90
Dividing both sides by 10:
x = 9
Abby must make and sell 9 boxes of her handmade cards to earn $50 after recovering the cost of the supplies.