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38 votes
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

User Dub Stylee
by
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2 Answers

20 votes
20 votes

Answer:

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

User Encore PTL
by
2.8k points
18 votes
18 votes

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

User Bravi
by
3.3k points