Fred had a number of passion fruits. He could pack all his passion fruits equally into 30 boxes. If he packed 4 fewer passion fruits in each box, he would be able to pack all his passion fruits equally into 40 boxes. How many passion fruits did Fred have altogether?
| |
40 boxes |
30 boxes |
| Number |
40 |
30 |
| Value |
1 u |
1 u + 4 |
| Total value |
40 u |
30 u + 120 |
Number of passion fruits if they were packed into 40 boxes
= 40 x 1 u
= 40 u
Number of passion fruits if they were packed into 30 boxes
= 30(1 u + 4)
= 30 u + 120
40 u = 30 u + 120
40 u - 30 u = 120
10 u = 120
1 u = 120 ÷ 10 = 12
Number of passion fruits that Fred had
= 40 u
= 40 x 12
= 480
Answer(s): 480
