You and a friend eat tacos. You order 2 tacos and 5 burritos which equals $19. Your friend orders 1 taco and 4 burritos which equals $14. Find the cost of a taco and a burrito.
Please help
2t + 5b = 19
1t + 4b = 14
or t = 14 - 4b
2t + 5b = 19
2(14-4b) + 5b = 19
28 - 8b +5b = 19
can you finish from here?
Once you get b... substitute that answer into one of the equations to find t.
Thanks and its burrito is 3 and taco is 2 right ?
Correct. Nice work.
To find the cost of a taco and a burrito, let's start by assigning variables to the unknowns.
Let's say the cost of a taco is 't' and the cost of a burrito is 'b'.
From the given information, we can create two equations based on the orders:
Equation 1: 2 tacos + 5 burritos = $19
2t + 5b = 19
Equation 2: 1 taco + 4 burritos = $14
1t + 4b = 14
We now have a system of two equations with two variables. We can solve it using the method of substitution or elimination.
Let's use the method of substitution here:
First, solve Equation 2 for t:
t = 14 - 4b
Next, substitute the value of t in Equation 1:
2(14 - 4b) + 5b = 19
Simplify and solve for b:
28 - 8b + 5b = 19
-3b = 19 - 28
-3b = -9
b = -9 / -3
b = 3
Now we have the cost of a burrito, which is $3.
Substitute the value of b back into Equation 2 to find the cost of a taco:
1t + 4(3) = 14
t + 12 = 14
t = 14 - 12
t = 2
Therefore, the cost of a taco is $2.
To summarize:
The cost of a taco is $2, and the cost of a burrito is $3.