Problema Solution
You are shopping for tools. You find two stores at which the regular prices of the tools are the same. Store A is currently offering $30 off any purchase of $100 or more. Store B is currently offering 12% off any purchase. Let x be the regular price (in dollars) of your purchase, and assume that x is greater than 100. Write an equation you could use to find the value of x for which the costs of the tools after the discounts are the same.
Answer provided by our tutors
x > 100
Store A cost after discounts: x - 30
Store B cost after discounts: x - 12% of x or x - 0.12x = 0.88x
we need the value of x for which the costs of the tools after the discounts are the same that is
x - 30 = 0.88x
x - 0.88x = 30
x = 30/0.12
x = $250
for x = $250 the costs of the tools after the discounts are the same.