Problema Solution
You buy card stock at a cost of $.50 per card and rent a table at the fundraiser for $20. You will sell the cards in sets of 12 for $10.20. How many sets of cards do you have to sell in order to make more than what you spend?
Answer provided by our tutors
I will assume the cards cost 50 cents = $0.50 per card.
There are 12 cards in a set and the cards cost $0.50 dollars each, so 12 * 0.50 = $6.00 per set.
Each set is sold for $10.20, so $10.20 - $6.00 = $4.20 is the profit made per set of cards.
We also invested $20 on the table.
Let x = the number of sets of cards we sell:
we want to make more than what we spend
$4.20 * x > $20.00
4.20x > 20.00
by solving we find
x > 4.7619
click here to see the step by step solution of the inequality
So we need to sell at least 5 sets to break even.
Indeed, if we sell 5 sets, we'll make 4.20 * 5 - 20.00 = 21.00 - 20.00 = $1.00 profit.