Question

I need to find and write the equation for the problem.

Layla wants to but a smart phone online using a $50 discount coupon along with a 20% discount on the original cost of the phone. Layla can spend up to $150. Write an inequality to find the original price of the smart phone she can afford.
(p = phone) variable I think it may be: (p-20%)-50 is less than or equal to 150 Thank you

Answer 1

(p-20/100p)-50 =80/100p-50 =4/5p-50

Answer 2

0.8p - 50 < = 150
0.8p < = 150 + 50
0.8p < = 200
p < = 200/0.8
p < = 250

the reason I set it up this way is because when it is 20% off, u r actually paying 80% of the original price (p)....80% of the original price is written as 0.8p...then u subtract ur 50 dollar discount coupon...- 50.....and if all she can spend is 150....it would be less then or equal to 150. So the most she can spend on the phone is 250