Vincent had a number of grapefruits. He could pack all his grapefruits equally into 20 boxes. If he packed 2 fewer grapefruits in each box, he would be able to pack all his grapefruits equally into 25 boxes. How many grapefruits did Vincent have altogether?
| |
25 boxes |
20 boxes |
| Number |
25 |
20 |
| Value |
1 u |
1 u + 2 |
| Total value |
25 u |
20 u + 40 |
Number of grapefruits if they were packed into 25 boxes
= 25 x 1 u
= 25 u
Number of grapefruits if they were packed into 20 boxes
= 20(1 u + 2)
= 20 u + 40
25 u = 20 u + 40
25 u - 20 u = 40
5 u = 40
1 u = 40 ÷ 5 = 8
Number of grapefruits that Vincent had
= 25 u
= 25 x 8
= 200
Answer(s): 200
