Question

3 Burgers and 5 tacos for 24.75, a burger is the price of two tacos.Find the cost of a burger and the cost of a taco

Answer 1

Burgers=4.50

tacos= 2.25

Explanation:

3 burgers

5 tacos

=$24.75/(B+t2)

3+5t=24.75

3(2t)+5t=24.75

6t+5t=24.75

11+=24.75

tacos=2.25

Burgers = 2.25 x 3

Answer 2

Let:

• b ,be the cost of a burger

,

• t, be the cost of a taco

"3 Burgers and 5 tacos for 24.75" means:

`3b+5t=24.75`

And "a burger is the price of two tacos" means:

`b=2t`

Substituting in the first equation and solving for t, we get:

`\begin{gathered} 3b+5t=24.75 \\ \rightarrow3(2t)+5t=24.75 \\ \rightarrow6t+5t=24.75 \\ \rightarrow11t=24.75 \\ \rightarrow t=(24.75)/(11) \\ \Rightarrow t=2.25 \end{gathered}`

Using this in our second equation,

`\begin{gathered} b=2t \\ \rightarrow b=2(2.25) \\ \Rightarrow b=4.50 \end{gathered}`

We get that burgers cost $4.50 and that tacos cost $2.25