Question

The Grinch Meyer brothers went to Taco Shack for a late night dinner. Lunchford bought 3 NearBeefRollers and 2 Close to Beef Tacos for $6.50. Bubba paid $2.50 for a NearBeefRoller and a Close to Beef Taco. How much were the tacos?

Answer 1

To solve the problem, let's define two variables:

- Let \( x \) represent the price of a NearBeefRoller.
- Let \( y \) represent the price of a Close to Beef Taco.

From the information given:

1. Lunchford's order provides us with the equation:
\[
3x + 2y = 6.50
\]

2. Bubba's order gives us the equation:
\[
x + y = 2.50
\]

Now, we have a system of equations to solve:

1. \( 3x + 2y = 6.50 \) (Equation 1)
2. \( x + y = 2.50 \) (Equation 2)

First, we can solve Equation 2 for \( y \):
\[
y = 2.50 - x
\]

Now, substitute \( y \) into Equation 1:
\[
3x + 2(2.50 - x) = 6.50
\]
Distributing the 2:
\[
3x + 5 - 2x = 6.50
\]
Now combine like terms:
\[
x + 5 = 6.50
\]
Subtracting 5 from both sides:
\[
x = 1.50
\]

Now that we have the price of a NearBeefRoller, we can find \( y \) using Equation 2:
\[
y = 2.50 - x = 2.50 - 1.50 = 1.00
\]

Thus, the price of a Close to Beef Taco is:
\[
\boxed{1.00}
\]