Question

mr teo has some oranges and a few bags . He uses all the bags to pack the oranges . If he packs 5 oranges in each bag ，he will be short of 4 oranges. If he packs 4 oranges in each bag，he will have 3 oranges left. What is the least number of oranges he has？

Answer 1

You can make an equation for each situation where x is the number of bags and y is equal to the total number of oranges.

5x + 1 = y

4x + 3 = y

With substitution: 5x + 1 = 4x + 3

Solve for x.

5x - 2 = 4x

x - 2 = 0

x = 2

There is 2 bags, so plug that into either equation:

4x + 3 = y

y = 4*2 + 3

y = 11 oranges