SOLUTION: Jim runs a food cart and during a busy outdoor festival he sold $7343.75 worth of food. He sells hot dogs for $2.95 and steak sandwiches for $9.95. If he sold a total of 985 items

Algebra ->  Systems-of-equations -> SOLUTION: Jim runs a food cart and during a busy outdoor festival he sold $7343.75 worth of food. He sells hot dogs for $2.95 and steak sandwiches for $9.95. If he sold a total of 985 items       Log On


   

Question 408641: Jim runs a food cart and during a busy outdoor festival he sold $7343.75 worth of food. He sells hot dogs for $2.95 and steak sandwiches for $9.95. If he sold a total of 985 items that day, how many of each item did he sell.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
a = number of hot dogs
b = number of steak sandwiches
(1) 2.95a+%2B+9.95b+=+7343.75
(2) a+%2B+b+=+985
-----------------
(2) b+=+985+-+a
(1) 2.95a+%2B+9.95%2A%28985+-+a%29+=+7343.75
(1) 2.95a+%2B+9800.75+-+9.95a+=+7343.75
(1) 7a+=+2457
(1) a+=+351
and
b+=+985+-+351
b+=+634
He sold 351 hot dogs and 634 steak sandwiches