Jason went to the Hamburger Shack twice last week. On the first trip, he bought 3 hamburgers and 4 orders

of French fries for $7.10.

On the second trip, he bought 2 hamburgers and one

order of French fries for $3.40.

What is the cost of a hamburger??

The cost of a hamburger and an order of French pies is $1.3 and $0.8 respectively.

let

cost of hamburger = x

cost of French pies = y

The equation:

3x + 4y = 7.10 (1)

3x + 4y = 7.10 (1)2x + y = 3.40 (2)

multiply (2) by 4

8x + 4y = 13.6 (3)

3x + 4y = 7.10 (1)

subtract (3) from (1)

8x - 3x = 13.6 - 7.10

5x = 6.5

x = 6.5 / 5

x = 1.3

substitute x = 1.3 into (2)

2x + y = 3.40 (2)

2(1.3) + y = 3.40

2.6 + y = 3.40

y = 3.40 - 2.6

y = 0.8

Therefore, cost of a hamburger and an order of French pies is $1.3 and $0.8 respectively.

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Cost of 1 hamburger = $1.3

Step-by-step explanation:

Assume;

Cost of 1 hamburger = a

Cost of 1 French fries = b

On first trip

3a + 4b = 7.10eq1

On second trip

2a + b = 3.40eq2

From eq2 x 4

8a + 4b = 13.6eq3

From eq3 - eq1

5a = 6.5

a = 1.3

Cost of 1 hamburger = $1.3