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

Answer:

120 (60 from each store)

Step-by-step 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 = $2x\times 10 = 2\times 6\times 10 =\bold{120}$ (60 from each store)