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.
Martha/Takisha -- I did the last problem for you. Now it's your turn.
I'll be glad to check your inequality.
Okay. Thank you
To find the inequality for the original price of the smartphone Layla can afford, you need to consider the discounts she wants to apply on the original cost of the phone.
Let's start by assigning a variable to represent the original price of the smartphone. Let's call it 'x'.
Since Layla has a $50 discount coupon, the price of the phone after applying the coupon will be 'x - $50'.
Additionally, Layla wants to have a 20% discount on the original cost of the phone. So, the price after applying the 20% discount will be (x - $50) - 0.20(x).
Now, we know that Layla can spend up to $150. So, we can set up the following inequality:
(x - $50) - 0.20(x) ≤ $150
To simplify this inequality, we can combine like terms:
x - $50 - 0.20x ≤ $150
Next, we can combine the x terms:
0.80x - $50 ≤ $150
Finally, we can move the constants to the right side of the inequality:
0.80x ≤ $200
This is the inequality for the original price of the smartphone Layla can afford.