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Math homework… please help!?

Recently, office depot.com sold a black HP C7115A Laser Jet Print cartridge for $64.99 and a color Apple computer M3908GA ink cartridge for $58.99. During a promotion offering free shipping, a total 450 these cartridges was purchased for a total of $27,625.50. How many of each type were purchased?

the problem is system of two equations and I am stuck for set up! thanks a lot!

let x = HP
let y = apple

x+y=450
64.99x + 58.99y = 27625.50

now you can solve the system
x=450-y

64.99(450-y)+58.99y=27625.50
29245.5 – 64.99y + 58.99y = 27625.50
1620=6y
270=y
180=x

180 HP
270 Apple

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