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Apples sell for $1.90 per pound, and bananas sell for $0.75 per pound. Troy bought some apples and some bananas. Together they weighed 3.8 pounds, and cost $5.84.


How many pounds of apples and how many pounds of bananas did Troy buy?


2.6 pounds of apples; 1.2 pounds of bananas


1.9 pounds of apples; 1.9 pounds of bananas


1.5 pounds of apples; 2.3 pounds of bananas


1.2 pounds of apples; 2.6 pounds of bananas

Verified Answer :

Answer:

c

Step-by-step explanation:

x=amount of apples bought. (in pounds)

y=amount of bananas boutht (in pounds)

We can suggest this system of equations:


x+y=3.8

1.9x+0.75y=5.84


We can solve this system of euqtions by substitution method.

x+y=3.8        ⇒ y=3.8-x


1.9x+0.75(3.8-x)=5.84

1.9x+2.85-0.75x=5.85

1.15x=5.84-2.85

1.15x=2.99

x=2.99/1.15

x=2.6


y=3.8-x

y=3.8-2.6

y= 1.2


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