Question

Oranges are to be transferred from larger boxes to smaller boxes. When a larger box is emptied, the oranges from it fill 3 smaller boxes and still 7 oranges are left. If the number of oranges in a small box are taken to be x, then what is the number of oranges in the larger box?

Answer 1

Hint: Given that, oranges are transferred from larger boxes to smaller boxes. After emptying a larger box, 3 smaller boxes are filled and 7 oranges are left. The number of oranges in a smaller box is assumed to be x. Find the sum of the number of oranges in three small boxes. Therefore the number of oranges in the larger box will be = total no. of oranges in all small boxes + 7.

Complete step-by-step solution:
According to the question, oranges are transferred from larger boxes to smaller boxes.
When a larger box is emptied, the oranges fill 3 smaller boxes and still 7 oranges are left.
Let the number of oranges in a small box be x.
Therefore, number of oranges in three small boxes is given by $x + x + x = \left( {3 \times x} \right) = 3x$
Given that, from the larger box 7 oranges are still left.
Therefore, the number of oranges in the larger box is given by
$ = \left( {3 \times {\text{number of oranges in a small box}}} \right){\text{ + }}7$
$ = 3x + 7$ ; where x = number of oranges in a small box.

Hence, the required number of oranges in a larger box is 3x+7 ; where x = number of oranges in a small box.

Note: According to the question, oranges are transferred from larger boxes to smaller boxes. When a larger box is emptied, the oranges fill 3 smaller boxes and still 7 oranges are left. We have to find the number of oranges in a large box. Let the number of oranges in a small box be x ; x can be any positive integer. So a large box will contain 7 more oranges than the total no. of oranges in all small boxes.