Question

James bought 2 bottles of lemonade and 1 bag of crisps for £1.40 . Jill bought 1 bottle of lemonade and 3 bags of crisps for £1.70 How much is a bottle of lemonade? How much is a bag of crisps?

Answer 1

Hence
2L + C = 1.4
-2L - 6C = -3.4
Add (This will eliminate 'L' )

-5C = -2.0
5C = 2.0
C = 0.4 = £0.40p


2L + 0.4 = 1.40
2L = 1.40 - 0.40 = 1.00
L = 0.50 = £0.50p.

Hence a lemonade (L) costs £0.50p & a Crisps (C) costs £0.40p.

Answer 2

The cost of each lemonade is $0.5 while the cost of each crisps is $0.4

Let x represent the cost of each lemonade and let y represent the cost of each crisps.

James bought 2 bottles of lemonade and 1 bag of crisps for £1.40, hence this can be represented by:

2x + y = 1.40     (1)

Jill bought 1 bottle of lemonade and 3 bags of crisps for £1.70. This can be represented by:

x + 3y = 1.7      (2)

Solving equation 1 and equation 2 simultaneously gives:

x = 0.5, y = 0.4

Therefore the cost of each lemonade is $0.5 while the cost of each crisps is $0.4

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