Question

A company sells boxes of cow bells (b) for $20 and boxes of air horns (h) for $30. They can make a batch of cow bells that fills 8 boxes or a batch of air horns that fills 9 boxes. The company only has 53 boxes. Which system of equations helps the company plan to make $275?

Answer 1

we can set the target on one side,
$275 =

and also, they can't make one cow bell. they must make a batch, of each of them. so on the Right Hand Side we must have something like

8*b*$20 + 9*h*$30,

because if we increase "b" by one, the only possible increase is an entire batch which comes out to be 8 bells at $20 each

Answer 2

"system of equations"

the other restriction is that the total boxes are 53. There could be more than one possible combination yielding $275.
the second equation tells us that 8*b*+ 9*h, must be 53 or less boxes
(the configuration of batches can not exceed available boxes)

Answer 3

b = 53 - h
8b + 9h = 53


8b = 53 - 9h
20b + 30h = 275

b = 53 - h
20b + 30h = 275

8b = 53 - 9h
20b - 30h = 275


thoese are the pssible awnsers

Answer 4

Did u ever get the answer to this ?