Zane had a number of passion fruits. He could pack all his passion fruits equally into 15 boxes. If he packed 3 fewer passion fruits in each box, he would be able to pack all his passion fruits equally into 20 boxes. How many passion fruits did Zane have altogether?
| |
20 boxes |
15 boxes |
| Number |
20 |
15 |
| Value |
1 u |
1 u + 3 |
| Total value |
20 u |
15 u + 45 |
Number of passion fruits if they were packed into 20 boxes
= 20 x 1 u
= 20 u
Number of passion fruits if they were packed into 15 boxes
= 15(1 u + 3)
= 15 u + 45
20 u = 15 u + 45
20 u - 15 u = 45
5 u = 45
1 u = 45 ÷ 5 = 9
Number of passion fruits that Zane had
= 20 u
= 20 x 9
= 180
Answer(s): 180
