Question

The cost of 5 baguettes and 2 salads is £12

the cost of 9 baguettes and 2 salads is £20
how much is one salad

Answer 1

The cost of one salad is £1

Answer 2

salad costs £1

Explanation:

let b be the cost of a baguette and s the cost of a salad.

set up 2 simultaneous equations from the given information.

5b + 2s = 12 → (1)

9b + 2s = 20 → (2)

subtract (1) from (2) term by term to eliminate s

(9b - 5b) + (2s - 2s) = 20 - 12

4b + 0 = 8 ( divide both sides by 4 )

b = 2

substitute b = 2 into either of the 2 equations and solve for s

substituting into (1)

5(2) + 2s = 12

10 + 2s = 12 ( subtract 10 from both sides )

2s = 2 ( divide both sides by 2 )

s = 1

the cost of one salad is £1