Vegetable meal

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

Correct answer:

r =  10 kg

Step-by-step explanation:

c = p5 r:p:c = 4:3:1  c=p5 r=4 c p=3 c  cp=5 4cr=0 3cp=0  Pivot:Row1Row2 4cr=0 cp=5 3cp=0  Row241 Row1Row2 4cr=0 p+0.25r=5 3cp=0  Row343 Row1Row3 4cr=0 p+0.25r=5 p+0.75r=0  Row3Row2Row3 4cr=0 p+0.25r=5 0.5r=5  r=0.55=10 p=150.25r=150.25 10=7.5 c=40+r=40+10=2.5  c=25=2.5 p=215=7.5 r=10=10 kg

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