Xavier had a number of peaches. He could pack all his peaches equally into 25 boxes. If he packed 4 fewer peaches in each box, he would be able to pack all his peaches equally into 35 boxes. How many peaches did Xavier have altogether?
|
35 boxes |
25 boxes |
Number |
35 |
25 |
Value |
1 u |
1 u + 4 |
Total value |
35 u |
25 u + 100 |
Number of peaches if they were packed into 35 boxes
= 35 x 1 u
= 35 u
Number of peaches if they were packed into 25 boxes
= 25(1 u + 4)
= 25 u + 100
35 u = 25 u + 100
35 u - 25 u = 100
10 u = 100
1 u = 100 ÷ 10 = 10
Number of peaches that Xavier had
= 35 u
= 35 x 10
= 350
Answer(s): 350