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I need this answers ASAP please. The mass of potatoes Lucan used is 5:2 the mass of carrots. The mass of potatoes is 9 kg more than the mass of carrots. Find the total mass of both ingredients. Please provide an explanation.

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linandrew41

Answer:

Step-by-step explanation:

Known facts:

  • the ratio of mass potatoes to the mass of carrots is 5:2
  • the mass of potato is 9kg more than the mass of carrot

Let us set up the equation:

  • variables: mass of potatoes: p, the mass of carrots: c

p/c = 5/2 --> 2p = 5c --> 2p -5c = 0 -- equation 1

p = 9 + c --> p - c = 9 -- equation 2

Multiple equation 2 by 2

2p - 2c = 18 -- equation 3

subtract equation 1 and equation 3

-3c = -18

c = 6, so p = 15

So the total mass of both ingredients is 21 kg

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