Cynthia buys 2 shirts, each costing $35, a pair of pants for $40 and a belt for $18. At the register the total she owes is $138.24. What is the rate of sales tax in her state?

The rate of sales tax in her state is 7.41%.

Step-by-step explanation:

First, you need to determine the cost of the items:

(35*2)+40+18=70+40+18=$128

Now, you can find the difference between the total Cynthia owes at the register and the cost of the items:

$138.24-$128=$10.24

Finally, you can use a rule of three to determine the rate of sales tax given that 138.24 represents 100%:

138.24 → 100%

10.24  →   x

x=(10.24*100)/138.24= 7.41%

According to this, the answer is that the rate of sales tax in her state is 7.41%.

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