SOLUTION: You have exactly $537 to spend on party gifts for your rich uncle’s birthday party. You decide to get watches for the ladies (at $27.98 each), and beepers for the men (at $23.46 ea

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: You have exactly $537 to spend on party gifts for your rich uncle’s birthday party. You decide to get watches for the ladies (at $27.98 each), and beepers for the men (at $23.46 ea      Log On


   



Question 2551: You have exactly $537 to spend on party gifts for your rich uncle’s birthday party. You decide to get watches for the ladies (at $27.98 each), and beepers for the men (at $23.46 each). You know that the number of watches required will be 3 times as much as the number of beepers. How many of each item do you buy?
Answer by kiru_khandelwal(79) About Me  (Show Source):
You can put this solution on YOUR website!
Let the number of watches be x
The number of beepers be y
As number of watches required is 3 times as much as number of beepers, therefore
x = 3y.....Equation(1)
Cost of 1 watch = $27.98
So cost of x watches will be = 27.98x
Cost of 1 beper = $23.46
So cost of y beepers = 23.46y
Total cost = $537
=> 27.98x + 23.46y = 537
Substituting value of x from equation (1)
=> 27.98*3y + 23.46y = 537
=> 107.4y = 537
=> y = 537/107.4
=> y = 5
So number of beepers = 5
number of watches = x = 3y = 15