The total age for Amelia, Bernard, and Cindy is 10w years. Amelia is 2w years old. Bernard is as old as Cindy.

Express Cindy's age in terms of w. If w = 4, how old is Cindy?

Express Cindy's age in terms of w. If w = 4, how old is Cindy?

Amelia + Bernard + Cindy = 10w {the total of their ages is 10w}

2w + ? + ? = 10w {Amelia is 2w years old, Bernard and Cindy are the same}

? + ? = 8w {subtracted 2w from each side}

2? = 8w {added ? and ?}

? = 4w {divided each side by 2}

4w

= 4(4) {substituted 4 in for w}

= 16 {multiplied}

2w + ? + ? = 10w {Amelia is 2w years old, Bernard and Cindy are the same}

? + ? = 8w {subtracted 2w from each side}

2? = 8w {added ? and ?}

? = 4w {divided each side by 2}

**Cindy is 4w****If w = 4,**4w

= 4(4) {substituted 4 in for w}

= 16 {multiplied}

**If w = 4, then Cindy is 16**

*- Algebra House*