Acoffee mixture has beans that sell for $0.20 a pound and beans that sell for $0.68. if 120 pounds of beans create a mixture worth $0.54 a pound, how much of each bean is used? model the scenario then solve it. then, in two or more sentences explain whether your solution is or is not reasonable.

let the proportion of the $0.20 be  

x

then the proportion of the $0.68 is  

1

−

x

set the target at $0.54

dropping the unit of measurement ($ ) for now we have

0.20

x

+

(

1

−

x

)

0.68

=

1

×

0.54

0.20

x

−

0.68

x

+

0.68

=

0.54

−

0.48

x

+

0.68

=

0.54

lets get rid of the decimals for now and multiply everything by 100

−

48

x

+

68

=

54

48

x

=

68

−

54

x

=

14

48

x

=

7

24

of the blend at $0.20

so the proportion of the $0.68 is  

1

−

7

24

=

17

24

determine the weight proportion of each bean type

$

0.68

type  

→

17

24

×

120

lb

=

85

lb

$

0.20

type  

→

7

24

×

120

lb

=

35

lb

check:

(

35

×

0.2

)

+

(

85

×

0.68

)

=

$

64.8

120

×

0.54

=

$

64.8

725 parts per hour.

step-by-step explanation:

hi there, this answer is actually really simple.

you can set it up as 1450/2 or 3625/5 to find the answer.

they want to know how much per hour is being made, so you just divide.

1450/2=725.

and that's how many are produced per hour.

hope this . : )

it would more likely be bald eagle because its has more in the box so about 75%.

step-by-step explanation: