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Jeremy buy a new computer with 14 optional features some of the features cost $28.50 and some cost $110.99 he if he spent a total of $811.45 for all the optional features how many of each type did he buy write an equation to model this problem

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wegnerkolmp2741o

28.50x + 110.99(14-x)=811.45

distribute

28.50 x + 1553.86-110.99x =811.45

combine like terms

-82.49x+1553.86=811.45

subtract 1553.86 from each side

-82.49x =-742.41

divide by -82.49

x=9

He bought 9 of the 28.50 features and 5 of the 110.99 features

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