There are three types of razor blades that come in packages of 6, 12, and 24, costing $2, $3, and $4 respectively. The store sold 12 packages containing 162 razor blades altogether for a total cost of $35. How many of each type of package were sold?

Question

There are three types of razor blades that come in packages of 6, 12, and 24, costing $2, $3, and $4 respectively.  The store sold 12 packages containing 162 razor blades altogether for a total cost of $35.  How many of each type of package were sold?

anonymous · Answer

looks to be 4,5, and 3 if I mess with it in my head.  But hoping someone could show me in formula

anonymous · Answer

2x + 3y + 4z = 35 (equation for price)

and I think you need to make other equations regarding to number of packages

anonymous · Answer

for packages I would assume 6x+12y+24z=162
then solve system of solutions

anonymous · Answer

ding ding ding!!!

anonymous · Answer

wish I could have thought like this when taking my final an hour ago :(

anonymous · Answer

so that gets you y=19-7.67z and substitue in?

anonymous · Answer

hmmm now Im stuck

anonymous · Answer

Got it...  1,7,3