Old-age care has frequently been conceptualised as being either family-based or publicly-provided. This article analyses the overlap in provision from the two sources and their relationship in the Swedish welfare state. Many older people and their carers rely on both sources of help rather than on just one, and prefer to do so. The empirical evidence on patterns of care in Sweden supports a joint family-state conceptualisation of care. Its realisation may depend on general coverage rates of public services and the efficient targeting of frail elderly people who live alone. Most older people in need of care rely on help only from their family, but many are helped by both the family and the state, particularly those with the greatest needs. Dynamic concepts like ‘substitution’ and ‘complementarity’ are hard to apply in cross-sectional studies: there may be complementarity in individual cases but long-term substitution or its reversal in successive cohorts. Yet again, both sources of care may increase simultaneously in individual cases. The need for care varies considerably among Swedish municipalities, with implications for the levels of both public services and family support. High coverage rates of the public services may facilitate and support family care.