Suppose you own a card shop. You buy 4 for $5 and plan to sell them for 3 for $5. How many cards must you sell to get a profit of $100. Plese explain step by step how you do it. PLease be accurate i...
Suppose you own a card shop. You buy 4 for $5 and plan to sell them for 3 for $5. How many cards must you sell to get a profit of $100.
Plese explain step by step how you do it. PLease be accurate i really need this and it is very important. Thank you.
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First, let's assign a variable to the number of cards sold. Let it be x.
Then, let's use the formula of profit which is:
Profit = Revenue - Total Cost
Total cost refers to the buying price which is $5 per 4 cards. So if we have x cards, the total cost is $`5/4*x`.
The revenue is the total money earned from selling the cards. Note that the selling price is $5 per 3 cards. So if we have sold x number of cards, then the revenue is $`5/3*x` .
So,
`Profit = 5/3x - 5/4x`
Substitute too the given profit.
`100=5/3x-5/4x`
To simplify the equation, multiply both sides by the LCD of the two fractions which is 12.
`12*100=(5/3x-5/4x)*12`
`1200=20x - 15x`
`1200=5x`
Then, isolate x. To do so, divide both sides by 5.
`1200/5=(5x)/5`
`240=x`
Hence, we need to sell 240 cards in order to have a profit of $100.
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