Theo has $5 more than denise and denise has $11 more than rudy. Together, they have $45. How much money does denise have?

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

Denise has $17

If Rudy has $6, then Denise has $17, and Theo has $22, which equals $45