Jason spent $124.00 buying 3 t-shirts and 5 hoodies at the concert. Jenna spent $100.00 and she bought 5 t-shirts and 3 hoodies. What is the price of one t-shirt?

1 Answer
Aug 18, 2016

Therefore, the price of a t-shirt is #$8#.

Explanation:

Let the price of a t-shirt be $#t#, &, that of a hoody, $#h#.

Then, for Jason's purchase, the total cost is #3t+5h#, given to be #$124#.

#:. 3t+5h=124...(1)#.

#||ly,# from Jenna's purchase, we get, #5t+3h=100...(2)#.

Since, we need #t#, we eliminate #h#, by taking operation #5xx(2)-3xx(1)#, and get,

#(25t+15h)-(9t+15h)=500-372#

#:. 16t=128 rArr t=8#

Therefore, the price of a t-shirt is #$8#.