Question

Rob and adam went to taco Express. Rob bought seven tacos and two fajitas and paid $12.65. Adam bought four tacos and one fajita and paid $6.95. Find the cost of a taco.

Answer 1

Cost of a taco is $ 1.25.

Explanation:

Let x be tacos and y be fajitas.

Rob bought seven tacos and two fajitas for $12.65.

⇒ 7x + 2y = 12.65 – – – (1)

Adam bought four tacos and one fajitas for $6.95.

⇒ 4x + y = 6.95 – – – (2)

⇒ y = 6.95 – 4x

Substitute y = 6.95 – 4x in equation (1), we get

(1) ⇒ 7x + 2(6.95 – 4x) = 12.65

⇒ 7x + 13.9 – 8x = 12.65

⇒ –x = –1.25

⇒ x = 1.25

Hence, cost of a taco is $1.25.