Let:
• b ,be the cost of a burger
,• t, be the cost of a taco
"3 Burgers and 5 tacos for 24.75" means:
[tex]3b+5t=24.75[/tex]And "a burger is the price of two tacos" means:
[tex]b=2t[/tex]Substituting in the first equation and solving for t, we get:
[tex]\begin{gathered} 3b+5t=24.75 \\ \rightarrow3(2t)+5t=24.75 \\ \rightarrow6t+5t=24.75 \\ \rightarrow11t=24.75 \\ \rightarrow t=\frac{24.75}{11} \\ \Rightarrow t=2.25 \end{gathered}[/tex]Using this in our second equation,
[tex]\begin{gathered} b=2t \\ \rightarrow b=2(2.25) \\ \Rightarrow b=4.50 \end{gathered}[/tex]We get that burgers cost $4.50 and that tacos cost $2.25
