Question

You are shopping for school supplies and want to decide where you should buy pencils from. SupplyCo sells a 10 pack of pencils for $0.95. SchoolShop sells a 10 pack of pencils for $1.45 but you have a $3.00 coupon. How many packs of pencils would you have to buy for the prices to be the same at each store?

Answer 1

120 (60 from each store)

Explanation:

Given that:

Price for 10 pack of pencils at SupplyCo = $0.95

Price for 10 pack of pencils at SchoolShop = $1.45

Discount coupon at SchoolShop = $3.00

Let the number of packs of pencils bought =
`2x` (in pack of 10)

Then
`x` will be the number of packs of 10 bought at each store.

Therefore, price at SupplyCo for
`x` packs (in pack of 10) =
`0.95x`

And price at SchoolShop for
`x` packs (in pack of 10) =
`1.45x-3.00` (because there is a coupon of $3.00)

As per question statement, price at both the stores is same:

`0.95x=1.44x-3\\\Rightarrow 0.5x=3\\\Rightarrow x=6`

Therefore, number of packs bought =
`2x* 10 = 2* 6* 10 =\bold{120}` (60 from each store)