Zeph had a number of pears. He could pack all his pears equally into 15 boxes. If he packed 2 fewer pears in each box, he would be able to pack all his pears equally into 20 boxes. How many pears did Zeph have altogether?
| |
20 boxes |
15 boxes |
| Number |
20 |
15 |
| Value |
1 u |
1 u + 2 |
| Total value |
20 u |
15 u + 30 |
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 + 2)
= 15 u + 30
20 u = 15 u + 30
20 u - 15 u = 30
5 u = 30
1 u = 30 ÷ 5 = 6
Number of pears that Zeph had
= 20 u
= 20 x 6
= 120
Answer(s): 120
