Question

Can I please get a direct explanation to this problem?

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?

A.
1.5 pounds of apples; 2.3 pounds of bananas

B.
2.6 pounds of apples; 1.2 pounds of bananas

C.
1.2 pounds of apples; 2.6 pound of bananas

D.
1.9 pounds of apples; 1.9 pounds of bananas

Answer 1

How are you supposed to know how many apples and banana's he bought?

Answer 2

you don't need to know

Answer 3

you can create the equation using the prices

Answer 4

???

Answer 5

I don't quite understand...

Answer 6

then there would be a whole bunch of answers

Answer 7

You would first develop a system of two equations in two variables.
x count pounds apples
y count pounds bananas

x+y=3.8 accounts for pounds.
1.9x+0.75y=5.84 accounts for cost.

Use the pounds equation to substitute either for x or for y, into the cost equation, simplify, and see what matches.

TRYING WHAT I SAID:-----------------------------------------

x + y = 3.8 gives y = 3.8 - x
Now substitute this formula for y into the cost equation.

1.9x + .75*(3.8 - x) = 5.84
1.9x + .75 * 3.8 - .75x = 5.84
1.15 + 2.85 = 5.84

Answer 8

sorry it took so long... it was a lot to type up.....

Answer 9

correction:
the final answer is 1.15x + 2.85 = 5.84

Answer 10

:D

Answer 11

actually so c

Answer 12

Oh... I understand now...

Answer 13

:D