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

Answer:Price of Caleb's groceries before tax= $6.4Step-by-step explanation:Let price of groceries before tax be = $ [tex]x[/tex]Sales tax % = 2.5%Sales tax applied = [tex]2.5\% \ of\ x = \frac{25}{100}\times x = \frac{25}{100} x[/tex]Actual sales tax paid = $1.60∴ [tex]\frac{25}{100}x=1.60[/tex]Multiplying both sides by 100.[tex]100\times \frac{25}{100}x=1.60\times 100[/tex][tex]25x=160[/tex]Dividing both sides by 25.[tex]\frac{25x}{25}=\frac{160}{25}[/tex][tex]x=6.4[/tex]∴ Price of groceries before tax= $6.4