SOLUTION: 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. Let p represen

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: 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. Let p represen      Log On


   

Question 799459: 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.
Let p represent the number of pounds of apples Troy purchased.
Which equation represents the problem described here?
A. –1.15p + 2.85 = 5.84

B. 1.15p + 2.85 = 5.84

C. 1.15p + 2.85 = 3.8

D. 1.9p + 0.75 = 3.8
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
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%2By=3.8, gives y=3.8-x
Now substitute this formula for y into the cost equation.
1.9x%2B0.75%283.8-x%29=5.84
1.9x%2B0.75%2A3.8-0.75x=5.84
1.15x%2B2.85=5.84
So what does this match among your choices?