George had a number of guavas. He could pack all his guavas equally into 30 boxes. If he packed 3 fewer guavas in each box, he would be able to pack all his guavas equally into 40 boxes. How many guavas did George have altogether?
| |
40 boxes |
30 boxes |
| Number |
40 |
30 |
| Value |
1 u |
1 u + 3 |
| Total value |
40 u |
30 u + 90 |
Number of guavas if they were packed into 40 boxes
= 40 x 1 u
= 40 u
Number of guavas if they were packed into 30 boxes
= 30(1 u + 3)
= 30 u + 90
40 u = 30 u + 90
40 u - 30 u = 90
10 u = 90
1 u = 90 ÷ 10 = 9
Number of guavas that George had
= 40 u
= 40 x 9
= 360
Answer(s): 360
