Alliya spent $6.70 on 12 pencils at the store. her cost included $0.46 sales tax. how much did each pencil cost before the sales tax was added? enter your answer in the box. ${}

each pencil costs $0.52 before sales tax was added

Explanation:
Assume that the price of each pencil before sales tax is x.

The total amount that Alliya paid can be computed as follows:
Total payment = x*number of pencils + sales tax

We are given that:
Total payment = $6.70
number of pencils = 12 pencils
sales tax = $0.46

Substitute with the givens in the above equation and solve for the price of each pencil (x) as follows:
Total payment = x*number of pencils + sales tax
6.70 = x * 12 + 0.46
6.7 - 0.46 = 12x
6.24 = 12x
x = 6.24/12
x = $0.52

Hope this helps :)

We know that

[Total Cost of the 12 pencils]=[sales price 12 pencils]+[sales taxes]
Total Cost of the 12 pencils=$6.70
sales taxes=$0.46

[sales price 12 pencils]=[Total Cost of the 12 pencils]-[sales taxes]
[sales price 12 pencils]=[$6.70]-[$0.46]>$6.24
[sales price 12 pencils]=$6.24
[sales price 1 pencil]=$6.24/12> $0.52

the answer is
the sales price of 1 pencil before the sales tax was added is $0.52