Oliver had a number of peaches. He could pack all his peaches equally into 20 boxes. If he packed 4 fewer peaches in each box, he would be able to pack all his peaches equally into 30 boxes. How many peaches did Oliver have altogether?
| |
30 boxes |
20 boxes |
| Number |
30 |
20 |
| Value |
1 u |
1 u + 4 |
| Total value |
30 u |
20 u + 80 |
Number of peaches if they were packed into 30 boxes
= 30 x 1 u
= 30 u
Number of peaches if they were packed into 20 boxes
= 20(1 u + 4)
= 20 u + 80
30 u = 20 u + 80
30 u - 20 u = 80
10 u = 80
1 u = 80 ÷ 10 = 8
Number of peaches that Oliver had
= 30 u
= 30 x 8
= 240
Answer(s): 240
