David 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 25 boxes. How many pears did David have altogether?
| |
25 boxes |
15 boxes |
| Number |
25 |
15 |
| Value |
1 u |
1 u + 4 |
| Total value |
25 u |
15 u + 60 |
Number of pears if they were packed into 25 boxes
= 25 x 1 u
= 25 u
Number of pears if they were packed into 15 boxes
= 15(1 u + 4)
= 15 u + 60
25 u = 15 u + 60
25 u - 15 u = 60
10 u = 60
1 u = 60 ÷ 10 = 6
Number of pears that David had
= 25 u
= 25 x 6
= 150
Answer(s): 150
