Question

Arlene buys a phone case and charging cord for 15% off. The original price of the charging cord, x. enter the correct answers in the boxes. remember to multiply by the discounted percentage as a decimal. the discount is applied to the sum of the cord and the phone case.

Answer 1

Arlene buys a phone case and charging cord for 15% off

Discount on case and cord = 15%

Original cost of case = $18

Total discount amount = $4.20

Let the original cost of charging cord = x

So, Arlene buys a phone case and charging cord for 15% off = 15% of cost of cord and case

15% of cord and case = 15% of (x + 18)

as the discount amonut ins $18

15% of cord and case = 15% of (x + 18)

15% of cord and case = 4.20

15% of (x + 18) = 4.20

`\begin{gathered} \text{ 15\% of (x +18) = 4.20} \\ \text{ }(15*(x+18))/(100)=4.20 \\ 15(x+18)=4.20*100 \\ 15(x+18)=420 \end{gathered}`

So, the expression is : 15(x + 18) = 420

Simplify the expression for x :

15(x + 18) = 420

15x + 270 = 420

15x = 420 - 270

15x = 150

x = 150/15

x = 10

So, the cost of charging cord is $10

Answer : equation : 15(x + 18) = 420

$10