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?

1 hot dog costs $3.50

Step-by-step explanation:

Represent Hot dog with x and Hamburger with y

Gregory's purchase:

--- (1)

Hart's purchase:

---- (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 * ()

This gives:

---- (3)

Subtract (2) from (3)

- ()

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

Solve for x

Hence:

1 hot dog costs $3.50

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step-by-step explanation: