Multiple offers on multiple houses at once

[Jason Bee]

Hi BP,

So I am looking at 2 multi-family houses in the competitive Boston market. It is a very competitive market and would be highly unlikely that both offers get accepted. One MF is listed below the price it should be and I would be offering over asking. The other MF is a little high and I would be offering less than asking. Is it ok to have my Realtor make 2 offers on 2 different properties at the same time? My realtor says I would lose the $1,000.00 check I take a pic of to show our intention to buy the house that we send with our offer. How does that work and any advice would be very much appreciated. Thanks! 

[Philip Ganz]

@Jason Bee  No seller is willing to tie up a property for 1,000.