Lee had a number of pears. He could pack all his pears equally into 15 boxes. If he packed 4 fewer pears in each box, he would be able to pack all his pears equally into 20 boxes. How many pears did Lee have altogether?
| |
20 boxes |
15 boxes |
| Number |
20 |
15 |
| Value |
1 u |
1 u + 4 |
| Total value |
20 u |
15 u + 60 |
Number of pears if they were packed into 20 boxes
= 20 x 1 u
= 20 u
Number of pears if they were packed into 15 boxes
= 15(1 u + 4)
= 15 u + 60
20 u = 15 u + 60
20 u - 15 u = 60
5 u = 60
1 u = 60 ÷ 5 = 12
Number of pears that Lee had
= 20 u
= 20 x 12
= 240
Answer(s): 240
