Billy had a number of lemons. He could pack all his lemons equally into 20 boxes. If he packed 3 fewer lemons in each box, he would be able to pack all his lemons equally into 30 boxes. How many lemons did Billy have altogether?
| |
30 boxes |
20 boxes |
| Number |
30 |
20 |
| Value |
1 u |
1 u + 3 |
| Total value |
30 u |
20 u + 60 |
Number of lemons if they were packed into 30 boxes
= 30 x 1 u
= 30 u
Number of lemons if they were packed into 20 boxes
= 20(1 u + 3)
= 20 u + 60
30 u = 20 u + 60
30 u - 20 u = 60
10 u = 60
1 u = 60 ÷ 10 = 6
Number of lemons that Billy had
= 30 u
= 30 x 6
= 180
Answer(s): 180
