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.Com
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)   (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:-----------------------------------------

, gives
Now substitute this formula for y into the cost equation.



So what does this match among your choices?

RELATED QUESTIONS

Apples sell for $1.90 per pound, and bananas sell for $0.75 per pound. Troy bought some... (answered by ewatrrr)
Julie, Frank and Lisa went to the grocery store to purchase some fruit. Julie bought 2 (answered by ankor@dixie-net.com)
Apples cost $0.75 per pound and bananas cost $1.05 per pound. A baker bought a total... (answered by greenestamps)
Apples cost $0.75 per pound and bananas cost $1.05 per pound. A baker bought a total... (answered by ikleyn)
Kathie spent $45 on a fruit salad. She bought bananas, mangoes, and apples. Bananas cost... (answered by ewatrrr)
Kathie spent $45 on a fruit salad. She bought bananas, mangoes, and apples. Bananas cost... (answered by ewatrrr)
you have $5 to spend on fruit for a picnic. Apples cost $.99 per pound and bananas cost... (answered by Mathtut)
you have $5 to spend on fruit for a picnic. apples cost $0.99 per pound and bananas cost... (answered by josmiceli)
Joe bought 3 bananas and 2 apples for $2.90. Bob bought 2 bananas plus 5 apples for... (answered by CubeyThePenguin)