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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?

User Eboix
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1 Answer

2 votes

Answer:

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)

User Piotr Lewandowski
by
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