The Vols scored 14 points less than 3 times the Titans score this weekend. If the sum of their points was 70, find how many each team scored.

Respuesta :

We can define some notation at first for this problem. Let V the score for The Vols and T for the Titans last weekend. From the information given we have the following conditions:

[tex]V+T=70\text{ (1)}[/tex][tex]V=3T-14\text{ (2)}[/tex]

Now if we replace euqation (2) into (1) we have:

[tex]3T-14+T=70[/tex]

And if we solve for T we got:

[tex]4T=84[/tex][tex]T=\frac{84}{4}=21[/tex][tex]V=(3\cdot21)-14=49[/tex]