Archie and Luke had an equal number of books. Archie donated
19 of her books and Luke donated
15 of his books. Luke donated 32 more books than Archie. How many books did Luke have at first?
| |
Archie |
Luke |
Before
|
9x5 =
45 u |
5x9 =
45 u |
Change
|
- 1x5 =
- 5 u |
- 1x9 =
- 9 u |
After
|
8x5 =
40 u |
4x9 =
36 u |
The number of books that Archie and Luke each had at first is the same. Make the number of books that Archie and Luke had at first the same. LCM of 9 and 5 is 45.
Number of books that Luke donated more than Archie
= 9 u - 5 u
= 4 u
4 u = 32
1 u = 32 ÷ 4 = 8
Number of books that Luke had
= 45 u
= 45 x 8
= 360
Answer(s): 360
