Example 1: In the market you can see varieties of rice at different prices. White rice costs P45 per kilogram and brown rice costs P50 per kilogram. You are planning to buy at least one kilogram of white rice and one kilogram of brown rice. You have at most P200 to spend for the rice.
Answer (1)
If you have ₱200, you could buy 2 kilograms of white rice and 2 kilograms of brown rice. After paying, you will receive ₱10 as change.₱45 - price of white rice₱50 - price of brown rice₱200 - the money you haveInitial requirement: buy at least one kilo of each type of rice₱200 - ₱45 - ₱50₱200 - (₱45 - ₱50)₱200 - (₱95) = ₱105Now that we are able to buy 1 kilo of each rice, we see that we have ₱105 left to spend.We have determined earlier that buying each type of rice only costs ₱95. This is lower than the change, this means we can buy more.₱105 - ₱95 = ₱10So you see, you can buy a total of 4 kilos of rice (2 kilos for white, and 2 kilos for brown).
