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The owner of the Koffee Shop pours the remainder of her old house blend, which is 40 % 40 % Colombian beans, into a 60 60 -pound bin, and fills it up with her new house blend, which is 30 % 30 % Colombian beans. Let h h stand for the number of pounds of the old house blend. Write algebraic expressions to answer the questions below. a . a . How many pounds of Colombian beans are in the old house blend? Pounds b . b . How many pounds of new blend does she pour into the bin? Pounds c . c . How many pounds of Colombian beans are in this amount of new house blend? Pounds d . d . How many pounds of Colombian beans are in the 60 60 -pound bin? Pounds

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Answer:

0.4h ; 60 - h ;18 - 0.3h ; 0.1h + 18

Step-by-step explanation:

Given that:

Old house blend = 40% Columbian beans

New house blend = 30% Columbian beans

h = number of pounds of old house blend

a.) pound of columbian bean in old house blend :

40% of h = 0.4h

b.) pound of new blend poured into the bean:

Size of bin = 60 pound

Size of bin - pound of old house blend

(60 - h)

c. Amount of columbian bean in pound of new house blend :

30% of (60 - h)

0.3 * (60 - h)

18 - 0.3h

D.) Amount of columbian bean in 60 pound bin

(Pound of columbian bean in old house blend + pound of Columbian bean in New house blend)

0.4h + (18 - 0.3h)

0.4h + 18 - 0.3h

0.1h + 18

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