Rachel, Jean and Hilda have 396 cards. Rachel has
56 as many cards as Jean. Hilda's cards is
13 of the total number of Rachel's and Jean's cards. How many cards must Jean give to Hilda so that both Rachel and Hilda will have the same number of cards?
Rachel |
Jean |
Hilda |
Total |
3x11 = 33 u |
1x11 = 11 u |
|
5x3 = 15 u |
6x3 = 18 u |
|
|
15 u |
18 u |
11 u |
396 |
Total number of cards
= 15 u + 18 u + 11 u
= 44 u
44 u = 396
1 u = 396 ÷ 44 = 9
Rachel |
Jean |
Hilda |
Total |
15 u |
18 u |
11 u |
396 |
|
- 4 u |
+ 4 u |
|
15 u |
14 u |
15 u |
396 |
Number of cards that Jean must give to Hilda
= 15 u - 11 u
= 4 u
= 4 x 9
= 36
Answer(s): 36