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Caleb bought groceries and paid $1.60 in sales tax. The sales tax rate is 2.5%. What was the price of Caleb's groceries, before tax? $

Caleb bought groceries and paid $1.60 \$ 1.60 in sales tax. The sales tax rate is 2.5% 2.5 \% .\newlineWhat was the price of Caleb's groceries, before tax?\newline$ \$

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Q. Caleb bought groceries and paid $1.60 \$ 1.60 in sales tax. The sales tax rate is 2.5% 2.5 \% .\newlineWhat was the price of Caleb's groceries, before tax?\newline$ \$
  1. Calculate Sales Tax Rate: To find the price of Caleb's groceries before tax, we need to calculate the pre-tax amount. We know the total sales tax paid and the sales tax rate. The formula to calculate the pre-tax price is:\newlinePre-tax price =Sales tax paidSales tax rate= \frac{\text{Sales tax paid}}{\text{Sales tax rate}}
  2. Convert to Decimal: First, we convert the sales tax rate from a percentage to a decimal to use it in our calculations. A 2.5%2.5\% sales tax rate as a decimal is:\newline2.5%=2.5100=0.0252.5\% = \frac{2.5}{100} = 0.025
  3. Calculate Pre-tax Price: Now we can calculate the pre-tax price of the groceries using the sales tax paid 1.601.60 and the sales tax rate 00.025025: \newlinePre-tax price = 1.600.025\frac{1.60}{0.025}
  4. Perform Division: Perform the division to find the pre-tax price:\newlinePre-tax price = $1.600.025=$64.00\frac{\$1.60}{0.025} = \$64.00

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