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 t
han the mass of carrots. Find the total mass of both ingredients. Please provide an explanation.
1 answer:
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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