Marices problem

Question

A soft ball team bought 24 jerseys and 15 hats for a total cost of $1713. Later, they bought 5 more jerseys and 12 more hats for a total cost of $490. If the cost per item was the same for each order, what was the cost of each jersey and hat ?

Answer 1

let x represent jerseys and y hats

 

24x+15y=1713

5x+12y=490

 

  24x+15y=1713

-1.25(5x+12y=490)

 

24x+15y=   1713

-6.25x-15y= 612.5...add equation

============

17.75x     =1100.50

x=$62

 

solve for y

5(62)+12y=490

 310+12y=490

-310        =-310....add

===========

       12y=180....divide both sides by 12

y=$15

 

to check

 

x=$62,y=$15....Answer

 

24(62)+15(15)=

$1488+$225=1713...yes