# SOLUTION: a printing comapny sells small packages of personalized stationery for 7\$ each, medium packages for 12\$, and large packages for 15\$ each. yesterday,the company sold 9 packages of s

Algebra ->  Algebra  -> Inequalities -> SOLUTION: a printing comapny sells small packages of personalized stationery for 7\$ each, medium packages for 12\$, and large packages for 15\$ each. yesterday,the company sold 9 packages of s      Log On

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 Question 60988: a printing comapny sells small packages of personalized stationery for 7\$ each, medium packages for 12\$, and large packages for 15\$ each. yesterday,the company sold 9 packages of stationary , collecting a total of \$86. three times as many medium packages were sold large packages. a.let s represent the number of small packages , m the number of medium packages, and l the number of large packages. write a system of three equations that represents the number of packages sold. b.find the number of each size packages sold.Answer by Nate(3500)   (Show Source): You can put this solution on YOUR website!s + m + l = 9 7s + 12m + 15l = 86 m = 3l Substitute: s + 3l + l = 9 s + 4l = 9 which can later be substituted as s = 9 - 4l Substitute: 7s + 12(3l) + 15l = 86 7s + 36l + 15l = 86 7s + 51l = 86 Substitute: 7(9 - 4l) + 51l = 86 63 - 28l + 51l = 86 23l = 23 l = 1 Remember: m = 3l m = 3 Remember: s + m + l = 9 s + 3 + 1 = 9 s = 5