Jacob is opening a store that sells seat covers. He invested $120 for marketing purposes. His rent is $750. He spends $7 for raw materials for each seat cover he makes. Jacob can sell the seat covers for $28 each. How many seat covers does Jacob have to sell to cover his expenses?

Answer: he has to sell 42 seat covers.

Step-by-step explanation:

Let x represent the number of seat covers that Jacob makes and sells.

He invested $120 for marketing purposes. His rent is $750. He spends $7 for raw materials for each seat cover he makes. This means that the total amount he would spend in making x seat covers is

120 + 750 + 7x

Jacob can sell the seat covers for $28 each. This means that the total revenue that he would generate from selling x seat covers is 28x.

The number of seat covers he needs to sell to cover his expenditure would be

28x = 120 + 750 + 7x

28x - 7x = 870

21x = 870

x = 870/21

x = 41.4

The number of seat covers must be a whole number and if he sells 41, it wont be enough. Therefore, he has to sell 42 seat covers

32 seat covers

Step-by-step explanation:

All his expenses add up to $877. Divide 877 by 28 and you end up with 31.32. So he would need to sell at least 32 seat covers the cover all his expenses.