Respuesta :

Answer:

x=13

Step-by-step explanation:

mugs=x

key=y

x+y=21         8.5x2.75 =132.50

y=  -x+21

8.5x + 2.75 (-x + 21) = 132.50

8.5x - 2.75 + 57.75 = 132.50

5.75x = 74.75

x= 13

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Answer:

he bought 13 coffee mugs and 8 key chains.

Step-by-step explanation:

How about we solve by simulataneousequation:

consider   coffee mug 'x' and key chain 'y'

there are total 21 items,

x+y = 21

=> x  = 21 - y .........................(i)

and

total cost is $132.50

8.5x + 2.75y = 132.5 .........(ii)

put value of x from eqn (i) into (ii):

8.5 ( 21 -y) + 2.75y = 132.50

=> 178.5 - 8.5y + 2.75y = 132.50

=> -5.75y = -46

 =>y = 8

Put vaklue of y back in (i):

x = 21 - y

=> x = 21 - 8 = 13

thus, x = 13

he bought 13 coffee mugs and 8 key chains.