word problem need help:
suppose you own a card shop. you buy one line of cards at a rate of 4 cards for $5.
you plan to sell the cards at a rate of
3 cards for $5
how may carfds must you sell in order to make a profit of $100.00
would it be 80 card?
profit per card = 5/3 - 5/4 = 5/12 or 41.666.. cents
number of cards ---- n
(5/12)n ≥100
n ≥ 1200/5 or 240
I don't understand you who did got this answer can you pls explain to me agian sorry im confused
To determine how many cards you need to sell in order to make a profit of $100, we need to calculate your cost and revenue per card.
Given that you buy one line of cards (presumably containing 4 cards) for $5, the cost per card is $5/4 = $1.25.
To find the revenue per card, we need to calculate the cost of selling three cards for $5. Since you plan to sell 3 cards for $5, the selling price per card is $5/3 = $1.67 (rounded to two decimal places).
Now, let's calculate the profit per card by subtracting the cost per card from the selling price per card:
Profit per card = Selling price per card - Cost per card
Profit per card = $1.67 - $1.25 = $0.42
To make a profit of $100, we can divide the desired profit by the profit per card:
Number of cards = Desired profit / Profit per card
Number of cards = $100 / $0.42 ≈ 238.1
Therefore, you would need to sell approximately 238 cards (rounded to the nearest whole number) in order to make a profit of $100.