SOLUTION: for same the price of purchasing 2 apples ,you may purchase 6 bananas,for $1.25 ,you get one apple and 2 bananas. What is the price of one banana? A $1.25 b $1.00 c $0.75

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: for same the price of purchasing 2 apples ,you may purchase 6 bananas,for $1.25 ,you get one apple and 2 bananas. What is the price of one banana? A $1.25 b $1.00 c $0.75      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 272225: for same the price of purchasing 2 apples ,you may purchase 6 bananas,for $1.25 ,you get one apple and 2 bananas. What is the price of one banana?
A $1.25 b $1.00 c $0.75 d $0.50 e $0.25

Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
let a = the price of one apple.
let b = the price of one banana.

2*a = 6*b

a + 2*b = 1.25

use the first equation to solve for a in terms of b.

you get a = 6*b/2 = 3*b

replace a with 3*b in the second equation to get:

3*b + 2*b = 1.25

combine like terms to get:

5*b = 1.25

divide both sides of the equation by 5 to get:

b = 1.25 / 5 = .25

price of 1 banana is $0.25

Since a = 3*b, this means that:

price of 1 apple is .75

substitute these values in your original equations to see that they are true.

your first equation is 2*a = 6*b

this means that 2*.75 = 6*.25

this means that 1.5 = 1.5 which is true.

your second equation is a + 2*b = 1.25

this means that .75 + 2*.25 = 1.25

this means that .75 + .50 = 1.25

this means that 1.25 = 1.25 which is also true.

price of one banana is $0.25 which is selection e.