Question

Andrew bought four bottles of lemonade and two bottles of water for €2.45. From the same shop Michael

bought two bottles of lemonade and four bottles of water for €2.35. What is the total cost of one bottle of
lemonade and one bottle of water?

Answer 1

price of lenonade bottle is 0.425

price of water bottle is 0.375

Explanation:

In explaination, 'x' is the value of lemonade bottle and 'y' is the value of water bottle.

All explaination is in picture below.

Answer 2

0.8 euro

Explanation:

Suppose the price of bottle of lemonade is x, when the bottle of water costs y.

Four bottles of lemonade cost 4x, two bottles of water cost 2y

4x+2y=2.45

Two bottles of lemonade cost 2x, four bottles of water cost 4y

2x+4y= 2.35

These equations( 4x+2y=2.45 and 2x+4y= 2.35) are simultaneous, so

multiply the first one by -2

-8x-4y=-4.9

-8x-4y+2x+4y= -4.9+2.35

-6x=-2.55

x=0.425 euro - the cost of bottle of lemonade

y=(2.45-4*0.425)/2

y=0.375 euro - the cost of bottle of water

0.425+0.375= 0.8 euro - the total cost of one bottle of

lemonade and one bottle of water