This report provides information on the following: (1) the percentage of Aid to Families with Dependent Children (AFDC) households receiving food stamp benefits, both nationally and by state; and (2) some of the reasons why the AFDC households in some states may not have higher food stamp participation rates. In fiscal year 1986, 83.4 percent of all AFDC households in the United States participated in the Food Stamp Program. Participation rates for individual states varied from 93.3 percent (Michigan) to 58.9 percent (Virginia). Participation rates for households comprised solely of AFDC recipients were higher than rates for all AFDC households; rates for households containing AFDC recipients as well as people not receiving AFDC benefits were lower than those for all AFDC households. Because the way that the state programs count household income is not uniform, many AFDC households that did not participate in the Food Stamp Program may not have been eligible to do so. Data are presented on tables and figures in the text and in appendices. A list of major contributors to this report is also included as an appendix. (BJV)