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A shop sells tins of paint in 2 litre and 5 litre cans. The manager checks the amount of paint he
has in stock, and finds that there are 500 cans altogether. These cans hold a total of 1420 litres of
paint. By forming and solving a pair of simultaneous equations, find the number of each size of
can in stock.

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mhanifa

Answer:

  • 360 of 2 liter cans and 140 of 5 liter cans

Step-by-step explanation:

Let the number of 2 liter cans be x and 5 liter cans be y.

Number of cans:

  • x + y = 500

Amount of paint:

  • 2x + 5y = 1420

Solve the system by elimination, double the first equation and subtract from the second one:

  • 2x + 5y - 2x - 2y = 1420 - 2*500
  • 3y = 420
  • y = 420/3
  • y = 140

Find x:

  • x + 140 = 500
  • x = 500 - 140
  • x = 360

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