Question

At the baseball game, the Gregory's bought 5 hot dogs and 2 hamburgers and paid $27.00. The Hart's purchases 3 hot dogs and 4 hamburgers and paid $29.50. How much does 1 hot dog cost?

Answer 1

Answer:

1 hot dog costs $3.50

Step-by-step explanation:

Represent Hot dog with x and Hamburger with y

Gregory's purchase:

$5x + 2y = 27$ --- (1)

Hart's purchase:

$3x + 4y = 29.5$ ---- (2)

Required

Find x

To do this, we'll make use of the elimination method of solving simultaneous equation.

Start by multiplying (1) by 2

2 * ($5x + 2y = 27$)

This gives:

$10x + 4y = 54$ ---- (3)

Subtract (2) from (3)

$10x + 4y = 54$

- ($3x + 4y = 29.5$)

-------------------------

$7x = 24.5$

Solve for x

$x = \frac{24.5}{7}$

$x = 3.5$

Hence:

1 hot dog costs $3.50