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chris rents a booth at a flea market at a cost of $75 for one day. at the flea market chris sells picture frames each of which costs him $6.00. if chris sells each picture frame for $13, how many picture frames must he sell to make a profit of at least $200 for that day?

1 Answer

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Answer:

x ≤ 40

Explanation:

-75-6x+13x ≤ 200

-75 is the cost of the booth a day

-6 is the intial cost of the paintings for Chris

x is the amount of paintings

13 is the price Chris sells the paintings for

200 is the profit needed

First thing you do is add like terms -75-6x+13x ≤ 200

add -6x and 13x

-75+7x ≤ 200

Now add 75 to both sides

7x ≤ 275

Now divide both sides by 7

x≤ 275

x≤ 39.2857142857

round up to x≤ 40 (because 39 paintings is not enough, 40 gives him $205 in profit while 39 only gives him $198 in profit)

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