Howard had a number of kiwis. He could pack all his kiwis equally into 10 boxes. If he packed 5 fewer kiwis in each box, he would be able to pack all his kiwis equally into 20 boxes. How many kiwis did Howard have altogether?
|
20 boxes |
10 boxes |
Number |
20 |
10 |
Value |
1 u |
1 u + 5 |
Total value |
20 u |
10 u + 50 |
Number of kiwis if they were packed into 20 boxes
= 20 x 1 u
= 20 u
Number of kiwis if they were packed into 10 boxes
= 10(1 u + 5)
= 10 u + 50
20 u = 10 u + 50
20 u - 10 u = 50
10 u = 50
1 u = 50 ÷ 10 = 5
Number of kiwis that Howard had
= 20 u
= 20 x 5
= 100
Answer(s): 100