Let's solve the problem step by step.

Step 1: Define the variables

• Let Joy's age be $x$.
• Since Joy and Yaritza's ages are consecutive odd integers, Yaritza's age is $x + 2$.
• Sierra's age is given as $x + 4$ (because her age is older than Yaritza's).

Step 2: Translate the problem into an equation

The problem states:

The sum of Joy's age and 5 times Sierra's age is 100.

This can be written as: $x + 5(x + 4) = 100$

Step 3: Simplify the equation

Expand and simplify: $x + 5(x + 4) = 100$ $x + 5x + 20 = 100$ $6x + 20 = 100$

Step 4: Solve for $x$

Subtract 20 from both sides: $6x = 80$

Divide by 6: $x = \frac{80}{6} = 13.33$

It seems there may have been an inconsistency in the problem formulation (perhaps Sierra's relationship to Joy or Yaritza was described differently than intended). Could you clarify further, or let me check again for assumptions?