Fullridedreams
How do you know which one to put on top in the ratio? This is a hurdle I am facing in word problems like these alot.
You can assign a varible to the weight of rice at $3.10 per kg (x) and assign a variable to the weight of rice at $3.60 per kg (y)
This question is asking for the proportion of rice weighed at $3.10 per kg to rice weighed at $3.60 per kg. -> x/y
You can set this up as a weighted average problem. We are told that the overall mixture will be worth $3.25 per kg.
Setting up the equation as:
3.10x + 3.60y / x + y = 3.25
3.10x + 3.60y = 3.25x + 3.25y (Multiply the entire equation by 100 to get rid of the decimals if it is easier for you.
310x +360y = 325x + 325y
35y = 15x (simplify by dividing both sides by 5)
7y = 3x (rearrange the varibles to x/y to get final proportion)
7/3 = x/y
A proportion or ratio can be written as x/y or x:y so we get
7:3 as final proportion.
Option D