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3 years ago

2 sandwiches and 3 croissants costs £11.

Mathematics

1 answer:

valentina_108 [34]3 years ago

5 0

Answer:

The price of a sandwich is £2.5 and the price of a croissant is £2

Step-by-step explanation:

Let s be the number of sandwiches and c be the number of croissants

Then according to given statements the equations will be:

$2s+3c = 11\ \ \ \ \ \ \ Eqn\ 1\\3s+6c =19.50\ \ \ Eqn\ 2$

Multiplying equation 1 by 2 and subtracting equation 2 from the new equation

$2(2s+3c) = 11*2\\4s+6c = 22$

Now

$4s+6c-(3s+6c) = 22-19.50\\4s+6c-3s-6c = 2.5\\s = 2.5$

Putting s=2.5 in equation 1

$2(2.5)+3c = 11\\5+3c = 11\\3c = 11-5\\3c = 6\\\frac{3c}{3} = \frac{6}{3}\\c = 2$

Hence,

The price of a sandwich is £2.5 and the price of a croissant is £2

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