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

1 hot dog costs $3.50

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 = (24.5)/(7)`

`x = 3.5`

Hence:

1 hot dog costs $3.50