Question

You are designing greeting cards on your computer to raise money for charity. 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 1

find the costs for the card set

`\begin{gathered} (0.5)\cdot12+20 \\ 6+20=26 \end{gathered}`

for a set of 12 cards you have spent $26 in which, 20 will be the rent and will be added $6 per set, the spent can be represented by the equation

`6x+20`

where x is the number of card sets

and the earnings will be

`10.20x`

write it as an inequality

`6x+20<10.20x`

solve for x

[tex]\begin{gathered} 20<10.20x-6x \\ 20<4.20x \\ \frac{20}{4.20}you will have to sell 5 sets of cards in order to have more