Ariel has 19 more CDs than her sister Tiffany has. victor has 3 times as many CDs as Ariel has. Which expression can be used to show how many CDs the three have in total?

Feb 17, 2017

The total number of CDs can be found with the expression $\Sigma = 5 T + 76$

Explanation:

Be T the number of CDs owned by Tiffany.
Be A the number of CDs owned by Ariel.
Be V the number of CDs owned by Victor.

$A = T + 19$
$V = 3 \cdot A$

Therefore, the total number of CDs owned by Ariel, Tiffany and Victor is:

$\Sigma = A + V + T = A + 3 \cdot A + T = \left(T + 19\right) + 3 \cdot \left(T + 19\right) + T$
$\Sigma = 5 \cdot T + 76$