the woodson and baker went to the burger shack for dinner. The woodsons bought 3 burger meals and 4 hot dog meals for 48 dollars the bakers bought 6 burger meals and 2 hot dog meals for 60 dollars. How much does each meal cost? show your work(SHORT ANSWER)

Answer 1

Let \( b \) be the cost of a burger meal and \( h \) be the cost of a hot dog meal.

From the information provided, we can set up the following equations:

1. \( 3b + 4h = 48 \) (Woodson's order)
2. \( 6b + 2h = 60 \) (Baker's order)

Now, we can simplify the second equation:

Divide the entire equation \( 6b + 2h = 60 \) by 2:

\[ 3b + h = 30 \]

Now we have the two equations:

1. \( 3b + 4h = 48 \)
2. \( 3b + h = 30 \)

Next, we can subtract the second equation from the first:

\[ (3b + 4h) - (3b + h) = 48 - 30 \]

This simplifies to:

\[ 3h = 18 \]

Now, divide by 3:

\[ h = 6 \]

Now, substitute \( h = 6 \) back into the second equation:

\[ 3b + 6 = 30 \]

Subtract 6 from both sides:

\[ 3b = 24 \]

Now divide by 3:

\[ b = 8 \]

Thus, the cost of each meal is:

• Burger meal: $8
• Hot dog meal: $6