Chronic oral diseases are rarely studied together, especially with an emphasis on their common risk factors. This study examined the association of added sugar consumption on “chronic oral disease burden” among adolescents, with consideration of obesity and systemic inflammation pathways through structural equation modeling. A cross-sectional study was conducted of a complex random sample of adolescent students enrolled at public schools in São Luís, Brazil (n = 405). The outcome was chronic oral disease burden, a latent variable based on the presence of probing depth ≥4 mm, bleeding on probing, caries, and clinical consequences of untreated caries. The following hypotheses were tested: 1) caries and periodontal diseases among adolescents are correlated with each other; 2) added sugar consumption and obesity are associated with chronic oral disease burden; and 3) chronic oral disease burden is linked to systemic inflammation. Models were adjusted for socioeconomic status, added sugar consumption, oral hygiene behaviors, obesity, and serum levels of interleukin 6 (IL-6). All estimators of the latent variable chronic oral disease burden involved factor loadings ≥0.5 and P values <0.001, indicating good fit. Added sugar consumption (standardized coefficient [SC] = 0.212, P = 0.005), high IL-6 levels (SC = 0.130, P = 0.036), and low socioeconomic status (SC = −0.279, P = 0.001) were associated with increased chronic oral disease burden values. Obesity was associated with high IL-6 levels (SC = 0.232, P = 0.001). Visible plaque index was correlated with chronic oral disease burden (SC = 0.381, P < 0.001). Our finding that caries and periodontal diseases are associated with each other and with added sugar consumption, obesity, and systemic inflammation reinforces the guidance of the World Health Organization that any approach intended to prevent noncommunicable diseases should be directed toward common risk factors.