  ### Home > AC > Chapter 6 > Lesson 6.1.3 > Problem6-26

6-26.

Write expressions to represent the quantities described below.

1. Geraldine is $4$ years younger than Tom. If Tom is $t$ years old, how old is Geraldine? Also, if Steven is twice as old as Geraldine, how old is he?

Geraldine is $4$ years younger than Tom, so Tom's age subtracted by $4$ is Geraldine's age: $(t−4)$

Steven is twice as old as Geraldine: $2(t−4)$. Remember that Geraldine's age is equal to $(t−4)$.

2. $150$ people went to see “Ode to Algebra” performed in the school auditorium. If the number of children that attended the performance was c, how many adults attended?

We know that a total of $150$ people attended the Ode to Algebra. There were two main groups of people
(the children and the adults) so: $(150−c)$ yields the amount of adults.

3. The cost of a new CD is $\14.95$, and the cost of a video game is $\39.99$. How much would $c$ CDs and $v$ video games cost?

• Refer to both problems (a) and (b) for help. Use what you know about the problem to create a
logical expression.