Answer:
Price of Caleb's groceries before tax = $64
Explanation:
Let the price of groceries before tax be =$
![x](https://img.qammunity.org/2020/formulas/mathematics/middle-school/k3ozza40nv61jy1offmxaxutrb6y1c3ly5.png)
Sales tax charged = $1.60
Sales tax rate =2.5%
Sales tax charged in terms of
will be = 2.5% of the Original price of grocery =
![2.5\% of x = 0.025* x=0.025x](https://img.qammunity.org/2020/formulas/mathematics/high-school/e7matbx209hx88hybyxf82yry7ijk73eqe.png)
So, we have,
![0.025x=1.60](https://img.qammunity.org/2020/formulas/mathematics/high-school/1rlf8uidwsvqcpevobtgr1hjzo07ludjop.png)
Dividing both sides by
![0.025](https://img.qammunity.org/2020/formulas/mathematics/high-school/f18aqpdh9nc9a0bhyr9ew3j9x660gk0p38.png)
![(0.025x)/(0.025)=(1.60)/(0.025)](https://img.qammunity.org/2020/formulas/mathematics/high-school/d0ezn35c0q7l28shrdlu7oml99tyy8pelb.png)
∴
![x=64](https://img.qammunity.org/2020/formulas/mathematics/college/nc22ty09je4mdcbxsomsw0wat67w4p48mb.png)
∴ Price of Caleb's groceries before tax = $64