If I told you that the answer to the word problem below is: 1lb of cashews, and 4lb of peanuts. Explain in your own words, how to solve this problem using any objective learned in this course. Please use complete sentences.
Peanuts cost $4.00 per pound and cashews cost $7.50 per pound. If I buy a 5 lb bag consisting of Peanuts and Cashews, and I pay $23.50 for the bag, how many pounds of cashews and how many pounds of peanuts are in the bag?