Linear Equations and Inequalities - Applications of Linear Equations in Real Life

Four boxes contain some marbles. The first box contains \(x\) marbles. The number of marbles in the first box is one third of the number in the second box. The third box contains \(8\) fewer marbles than the first box. The fourth box contains half as many marbles as the third box.

1. Write down expressions, in terms of \(x\), for the number of marbles in the second, third and fourth boxes.

   [3]

2. The average number of marbles in the four boxes is \(19\). Form an equation in \(x\) and solve it.

   [3]

3. Hence, find the total number of marbles in the first and second boxes.

   [1]