Caleb bought groceries and paid \$1.60$1.60dollar sign, 1, point, 60 in sales tax. The sales tax rate is 2.5\%2.5%2, point, 5, percent. What was the price of Caleb's groceries, before tax?

Respuesta :

Answer:

Price of Caleb's groceries before tax = $64

Step-by-step explanation:

Let the price of groceries before tax be =$ [tex]x[/tex]

Sales tax charged = $1.60

Sales tax rate =2.5%

Sales tax charged in terms of [tex]x[/tex] will be = 2.5% of the Original price of grocery =[tex]2.5\% of x = 0.025\times x=0.025x[/tex]

So, we have,

[tex]0.025x=1.60[/tex]

Dividing both sides by [tex]0.025[/tex]

[tex]\frac{0.025x}{0.025}=\frac{1.60}{0.025}[/tex]

∴ [tex]x=64[/tex]

Price of Caleb's groceries before tax = $64