Astore is selling two mixtures of nuts in 20-ounce bags. the first mixture has 15 ounces of peanuts combined with five ounces of cashews, and costs $4.25. the second mixture has five ounces of peanuts and 15 ounces of cashews, and costs $6.75. how much does one ounce of peanuts and one ounce of cashews cost?

Given that a store is selling two mixtures of nuts in 20-ounce bags: peanuts and cashews.

Let the cost of one ounce of peanut be x and the cost of one ounce of cashew be y, then

Given that the first mixture has 15 ounces of peanuts combined with five ounces of cashews, and costs $4.25 implies that 15x + 5y = 4.25

Also, given that the second mixture has five ounces of peanuts and 15 ounces of cashews, and costs $6.75 mplies that 5x + 15y = 6.75

To obtain the cost of one ounce of peanuts and one ounce of cashews, we solve the two equations above, simultaneously:


Therefore, one ounce of peanuts and one ounce of cashews cost $0.15 and $0.40 respectively.