Question

Simultaneous equations ! Who can help

Answer 1

The cost of glass is:  £4

The cost of mug =  £2

Step-by-step explanation:

Let g be the number of glasses and

m be the number of mugs

$3g+3m = 18\ \ \ \ \ Eqn\ 1\\6g+4m=32\ \ \ \ \ Eqn\ 2$

Multiplying equation 1 by 2

$6g+6m=36\ \ \ \ Eqn\ 3$

Subtracting Eqn 2 from Eqn 3

$6g+6m - (6g+4m) = 36-32\\6g+6m-6g-4m=4\\2m=4$

Dividing both sides by 2

$\frac{2m}{2} = \frac{4}{2}\\m = 2$

Putting m=2 in eqn 1

$3g+3(2) = 18\\3g+6 = 18\\3g = 18-6\\3g = 12$

Dividing both sides by 3

$\frac{3g}{3} = \frac{12}{3}\\g = 4$

Hence,

The cost of glass is:  £4

The cost of mug =  £2

Keywords: Linear Equation, simultaneous equations

Learn more about linear equation at:

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