If we solve the following system of equations where are non-negative integers, what is the sum of all possible values of
In the post office they sell souvenir stamps of three denominations: 25 cents, 10 cents, and 5 cents. If you want to buy 20 stamps for exactly 2 dollars, how many combinations of the three kinds of stamps are there that you can buy?
NOTE: It's possible, in a combination, to buy zero of a stamp variety.
Old Spinner's Manufacture employed 20 people at their shop. Their weekly salary was 3 shillings for a man, 2 shillings for a woman, and half a shilling for a child below 15. If the 20 people altogether received exactly 20 shillings a week and there were at least one man and one woman, how many children were employed?
Solve the following system of linear Diophantine equations for non-negative integers Find the value of
Jane bought 5 watermelons, 3 apples and 20 cherries for 46 dollars. Lizzy bought 2 watermelons, 5 apples and 12 cherries for 27 dollars. If the prices of a watermelon and an apple are both integers, what is the price of an apple?
Give your answer in dollars.