Fred had a number of pears. He could pack all his pears equally into 25 boxes. If he packed 2 fewer pears in each box, he would be able to pack all his pears equally into 30 boxes. How many pears did Fred have altogether?
| |
30 boxes |
25 boxes |
| Number |
30 |
25 |
| Value |
1 u |
1 u + 2 |
| Total value |
30 u |
25 u + 50 |
Number of pears if they were packed into 30 boxes
= 30 x 1 u
= 30 u
Number of pears if they were packed into 25 boxes
= 25(1 u + 2)
= 25 u + 50
30 u = 25 u + 50
30 u - 25 u = 50
5 u = 50
1 u = 50 ÷ 5 = 10
Number of pears that Fred had
= 30 u
= 30 x 10
= 300
Answer(s): 300
