Ivan had a number of lemons. He could pack all his lemons equally into 10 boxes. If he packed 4 fewer lemons in each box, he would be able to pack all his lemons equally into 15 boxes. How many lemons did Ivan have altogether?
| |
15 boxes |
10 boxes |
| Number |
15 |
10 |
| Value |
1 u |
1 u + 4 |
| Total value |
15 u |
10 u + 40 |
Number of lemons if they were packed into 15 boxes
= 15 x 1 u
= 15 u
Number of lemons if they were packed into 10 boxes
= 10(1 u + 4)
= 10 u + 40
15 u = 10 u + 40
15 u - 10 u = 40
5 u = 40
1 u = 40 ÷ 5 = 8
Number of lemons that Ivan had
= 15 u
= 15 x 8
= 120
Answer(s): 120
