Fred and Archie had an equal number of books. Fred donated
19 of her books and Archie donated
13 of his books. Archie donated 14 more books than Fred. How many books did Archie have at first?
| |
Fred |
Archie |
Before
|
9x1 =
9 u |
3x3 =
9 u |
Change
|
- 1x1 =
- 1 u |
- 1x3 =
- 3 u |
After
|
8x1 =
8 u |
2x3 =
6 u |
The number of books that Fred and Archie each had at first is the same. Make the number of books that Fred and Archie had at first the same. LCM of 9 and 3 is 9.
Number of books that Archie donated more than Fred
= 3 u - 1 u
= 2 u
2 u = 14
1 u = 14 ÷ 2 = 7
Number of books that Archie had
= 9 u
= 9 x 7
= 63
Answer(s): 63
