T = Theo D = Denise and R = Rudy Theo has $5 more than Denise T = D + 5 Denise has $11 more than Rudy D = R + 11 Together they have $45 T + D + R = 45
From the information given we have 3 equations. We know the relationship between the variable so we can use substitution and solve. we need to find D. let rewrite T and R in terms of D then put in the 3rd equation we will have one equation in one variable and we can solve.
T + D + R= 45 (D+ 5) +( D)+ (D - 11) = 45 3D -6 = 45 3D = 51 D = 17