At an office supply store, packs of pencils are sold for $1.50 each, and packs of pens are sold for $4 each. If at the end of the day, the store sold 28 packs of writing utensils and made $67, how many packs of pens and pencils did it sell?
Accepted Solution
A:
-------------------------------------------------------------------------------------------- Information Given -------------------------------------------------------------------------------------------- Pack of pencils = $1.50 Pack of pens = $4 Quality sold = 28 Amount made = $67
-------------------------------------------------------------------------------------------- Assumed all are the 28 pack are pencils -------------------------------------------------------------------------------------------- 28 x $1.50 = $42
-------------------------------------------------------------------------------------------- Find difference in amount between assumption and actual -------------------------------------------------------------------------------------------- $67 - $42 = $25
-------------------------------------------------------------------------------------------- Find the difference in price between the two items -------------------------------------------------------------------------------------------- $4 - $1.50 = $2.50
-------------------------------------------------------------------------------------------- Find the number of actual packs of pens bought -------------------------------------------------------------------------------------------- $25 ÷ $2.50 = 10
-------------------------------------------------------------------------------------------- Find the number of actual packs of pencils bought -------------------------------------------------------------------------------------------- 28 - 10 = 18
-------------------------------------------------------------------------------------------- Ans: 18 packs of pencils and 10 packs of pens --------------------------------------------------------------------------------------------
-------------------------------------------------------------------------------------------- Checks: -------------------------------------------------------------------------------------------- Pens : 10 x $4 = $40 Pencils 18 x $1.50 = $27 Total = $40 + $27 = $67 ← Correct