Problems(1)
Each day John's mother sends him to the store with $1 to buy widgets and gadgets, each of which cost a whole number of cents. On the first day John comes back with 4 widgets, 5 gadgets, and 35 cents in change. On the second day, John comes back with 5 widgets, 4 gadgets, and 39 cents in change. On the third day, John comes back with only c cents in change. He hands his mother the change, telling her that he had tripped coming home and broken all the widgets and gadgets. His mother, thinking for a moment, begins yelling at him for lying, as she noticed that there was no way he could have received exactly c cents in change given the price of widgets and gadgets. What is the sum of the digits of the least possible value of c?<spanclass=′latex−bold′>(A)</span>10<spanclass=′latex−bold′>(B)</span>13<spanclass=′latex−bold′>(C)</span>15<spanclass=′latex−bold′>(D)</span>18<spanclass=′latex−bold′>(E)</span>impossible to determine 2019 Individual