At Briarwood Garden Shop's annual end-of-season sale, every plant in the shop gets marked down. Clare purchased 4 rosebushes during the sale. Each rosebush cost $12 less than its full
price. She paid a total of $96. How much would each rosebush cost at full price?
HELP?

 $36 per rosebush without the discount

Explanation:

x = full price for one rosebush

x-12 = discount price (saving $12) for each rosebush

4(x-12) = total for buying four rosebushes at the discount price

4(x-12) = 96 since she paid $96 overall through the discount

Let's solve for x

4(x-12) = 96

x-12 = 96/4

x - 12 = 24

x = 24+12

x = 36

Or you could solve like this

4(x-12) = 96

4x-48 = 96

4x = 96+48

4x = 144

x = 144/4

x = 36

Either way, the full original price per rosebush was $36

Saving $12 per rosebush means she actually paid 36-12 = 24 dollars per plant instead. Then note how 24*4 = 96 to help fully confirm we have the correct x value, and it confirms the correct answer.

linear pair postulates