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 e

Algebra ->  Expressions-with-variables -> 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 e      Log On


   



Question 174365: 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?
Found 2 solutions by ankor@dixie-net.com, Mathtut:
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
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?
:
Let x = no. of beepers
then
3x = no. of watches
:
23.46x + 27.98(3x) = 537
23.46x + 83.94x = 537
107.40x = 537
x = 537%2F107.4
x = 5 beeper
and
3*5 = 15 watches
:
:
You can check solution in the original equation

Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
let w and b be the number of watches and beepers respectively
:
27.98w+23.46b=537..eq 1
w=3b...............eq 2
:
take w's value in eq 2 and plug it into eq 1
;
27.98(3b)+23.46b=537
:
83.94b+23.46b=537
:
107.40b=537
:
highlight%28b=5%29beepers
:
highlight%28w=3b=3%285%29=15%29watches
: