Question

Supposed five plain hamburgers cost the same as three super burgers. Also suppose that one super burger cost $.30 more than one cheeseburger wow one plain hamburger cost $.20 less than one cheeseburger. What would be the cost of one of each kind a burger

Answer 1

1 plain = $0.75; 1 cheese = $0.95; 1 super = $1.25

Explanation:

We have three conditions

(1) 5P = 3S

(2) S = C + 0.30

(3) P = C – 0.20 Substitute (3) into (1)

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(4) 5(C – 0.20) = 3S Substitute (2) into (4)

5(C – 0.20) = 3(C + 0.30) Remove parentheses

5C – 1.00 = 3C + 0.90 Add 1.00 to each side

5C = 3C + 1.90 Subtract 3C from each side

2C = 1.90 Divide each side by 2

C = $0.95 Substitute C into Equation (2)

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S = 0.95 + 0.30

S = $1.25 Substitute C into Equation (3)

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P = 0.95 – 0.20

P = $0.75

1 plain = $0.75; 1 cheese = $0.95; 1 super = $1.25