Vegetable stew

The recipe for vegetable stew is recommended to mix tomatoes, peppers, and onions in a ratio of 4: 3: 1. The cook has already prepared both onions and peppers, while the onions were five kg less than peppers. How many kilograms of tomatoes will he need according to this recipe?

Correct answer:

r =  10 kg

Step-by-step explanation:

c = p - 5
r = 4/3 • p
p = 3•c

c-p = -5
4p-3r = 0
3c-p = 0

c = 5/2 = 2.5
p = 15/2 = 7.5
r = 10

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