The Hanafi school states that any adult, sane Muslim who possesses the Nisab value must give a Qurbani. So if you are eligible to pay Zakat, you need to offer a Qurbani.

The Maliki and Hanbali schools state that the person responsible for the household can make the Qurbani on their behalf.

However, in many households today, it is not uncommon to have two or more people who pay Zakat. The best and safest option is for a Qurbani to be offered for each person eligible for giving Zakat.