Question

3 drinks and 2 hot dog costs 7.70 and 2 drinks and one hot dog is 4.55 system of equation on drink and one hot dog to the nearest cents

Answer 1

Drink = 1.4

Hot dog = 1.75

x + y = 3.15

Explanation:

Let drink = x ; hot dog = y

3x + 2y = 7.70 - - (1)

2x + y = 4.55 - - - (2)

From (2)

y = 4.55 - 2x - - - (3)

Put y = 4.55 - 2x in (1)

3x + 2(4.55 - 2x) = 7.70

3x + 9.1 - 4x = 7.70

-x = 7.7 - 9.1

-x = - 1.4

x = 1.4

Put x = 1.4 in (3)

y = 4.55 - 2(1.4)

y = 4.55 - 2.8

y = 1.75

Drink = 1.4

Hot dog = 1.75

x + y = 3.15