SOLUTION: a racket cost $12.00 more than a bat. the cost of two rackets and three bats is $619. using x ato represent the cost, in dollars, of a bat. (i) write an algebraic expression f

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: a racket cost $12.00 more than a bat. the cost of two rackets and three bats is $619. using x ato represent the cost, in dollars, of a bat. (i) write an algebraic expression f      Log On


   

Question 23512: a racket cost $12.00 more than a bat. the cost of two rackets and three bats is $619.
using x ato represent the cost, in dollars, of a bat.
(i) write an algebraic expression for the cost of a racket
(ii) write an algebraic equation to represent the total cost of the two rackets and three bats
(iii) solve the equation and hence, determine the cost of a racket
Found 2 solutions by Paul, stanbon:
Answer by Paul(988) About Me  (Show Source):
You can put this solution on YOUR website!
2(12+x)+3x=619
24+2x+3x=619
5x=595
x=119
Hence the cost of a racket is $119.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
a racket cost $12.00 more than a bat. the cost of two rackets and three bats is $619.
using x ato represent the cost, in dollars, of a bat.
(i) write an algebraic expression for the cost of a racket
racket cost = x+12
(ii) write an algebraic equation to represent the total cost of the two rackets and three bats
2(x+12) + 3x = 619
(iii) solve the equation and hence, determine the cost of a racket
5x +24 = 619
5x = 595
x = $119 (cost of a bat)
x+12= $131 (cost of a racket)
Cheers,
Stan H>