Warm Shelters.org received a donation of $32,000 to buy beds and dressers for its new dormitories. Each bed will cost $320.00 and each dresser will be $75.00 each. Compute the number of dressers that can be purchased if a total of 132 pieces of beds and dressers are needed. Round off to the nearest one.

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Using a system of equation, the number of dresses that can be bought is 41

Let this number of beds and dresses required = b and d respectively

b + d = 132 - - - - (1)

320b + 75d = 32000 - - - - - (2)

From (1) :

b = 132 - d - - - - - -( 3)

Substitute (3) into (2)

320(132 - d) + 75d = 32000

42240 - 320d + 75d = 32000

-245d = - 10240

d = - 10240 / -245

d = 41.79

Therefore, the Number of dresses that can be bought is 41

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