Estamos distribuindo maçãs para um grupo de meninos. Se distribuirmos todo o suprimento, cada menino receberá três maçãs, exceto um, que receberá duas. Se, em vez disso, dermos duas maçãs a cada menino, sobrarão oito maçãs. Quantas maçãs há no total?
(We're giving out apples to a group of boys. If we distribute the entire supply, then every boy will get three, except for one, who will get two. If instead we give each boy two apples, then we'll have eight apples left over. How many apples are there altogether?)
PCFilho
(pescado no Futility Closet)
26
ResponderExcluirIf we denote the number of boys as x and the total number of apples as a, we can write two expressions that relate the two amounts:
ResponderExcluira = 3x - 1
a = 2x + 8
Setting the right sides of these equations equal to each other, we get:
3x - 1 = 2x + 8
3x - 2x = 8 + 1
x = 9
Thus, there are nine boys and a = 3(9) - 1 = 26. Therefore, there are 26 apples total.
My answer: 26
Well done, the answer is 26.
ResponderExcluirThis can be done intuitively. Imagine handing out the apples as described in the first case and then taking back one apple from each of the boys who received three. At that point we’ll be holding eight apples. Therefore, there are 9 boys and 26 apples.