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claudia bought 2 filing cabinets and 4 cupboards. A filing cabinet costs 3 times as much as a cupboard. She paid 800 altogether. what was the cost of the cupboard

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If f = price of filing cabinet and c = price of cupboard we can make up the equation

2f + 4c =800

we also know that f = 3c, so can substitute that into equation

2(3c) +4c = 800

6c + 4c = 800

10c = 800

c = 80

f = 240

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