Step-by-step answer:
When dealing with ratios, we can multiply or divide at will (but not add or subtract). The present question gives a good example:
Given:
Tomatoes = 150 g.
Beans : tomatoes : others = 6:3:1
Solution:
We note that there are 150g of tomatoes, and the ratio of tomatoes is 3.
We can therefore multiply the ratio by 150/3 = 50 to get the true weight of all ingredients (as long as tomatoes correspond to the true weight)
Beans : tomatoes : others
= 6:3:1 [ multiply by 150/3=50]
=300:150:50
So
beans weigh 300 g
tomatoes 150 g
others weight 50 g.
