Need network design help

Hello, I am trying to design a network for a client who will have 3 separate networks. One for VOIP, one for Office LAN and one for Public WiFi. The ISP is going to provide 5 public IPs and we were thinking that each network would have it's own public IP. So in my inexperienced mind, the easiest way would be to have the layout as such:

                      basic switch
                  /                         |                                   \
        VOIP router      Office Lan Router       Public Wifi Router
             |                              |                                        |
      basic switch           basic switch                basic switch
             |                              |                                         |
        phones               Office computers            Access Points  

This seems like a lot of equipment though. The only benefit is if one network goes down, your single point of failure is isolated to that network.  The other benefit, is you I can get by with "non-enterprise" grade equipment. I don't necessarily go with the cheapest but I don't need high end either. All told, I'll have 7 phones, 10-15 computers/printers on the Office lan and x number of users on public wifi.  

The downside is the office users would have access to Wifi (unless I put in AP's just for the office side but trying to save on expense). So I'm wondering if the following would diagram would work.

                    basic switch
                  /                   |                                   \
        VOIP router      Office Lan Router (vlan 10)       Public Wifi Router (vlan 20)
             |                                                                    /\
      basic switch                                     Switch with VLAN capabilities
             |                                                          |                 |
        phones                          Office computers            Access Points  
                                                       (vlan 10)                     (vlan 10 & 20)

Would something like that work?
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Thomas GrassiSystems AdministratorCommented:
That will work

We have the exact same setup

Al VoIP devices on a separate network

We just plug in a laptop on that lan when we need to access the phones

We also use Poe switches for many devices and all the phones

Hope this helps

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