# Vegetable meal

The cook was doing meal - in ratio 4: 3: 1 mix tomatoes: pepper: onion. Onions were 5 kg less than peppers. How many kgs of tomatoes did he need to prepare the meal?

Result

r =  10 kg

#### Solution:

$c=p-5 \ \\ r:p:c=4:3:1 \ \\ \ \\ \ \\ c=p-5 \ \\ r=4 \cdot \ c \ \\ p=3 \cdot \ c \ \\ \ \\ c-p=-5 \ \\ 4c-r=0 \ \\ 3c-p=0 \ \\ \ \\ c=\dfrac{ 5 }{ 2 }=2.5 \ \\ p=\dfrac{ 15 }{ 2 }=7.5 \ \\ r=10 \ \\ =10 \ \text{kg}$

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