Emma, Olivia and Gabby have 300 cards. Emma has
23 as many cards as Olivia. Gabby's cards is
14 of the total number of Emma's and Olivia's cards. How many cards must Olivia give to Gabby so that both Emma and Gabby will have the same number of cards?
Emma |
Olivia |
Gabby |
Total |
4x5 = 20 u |
1x5 = 5 u |
|
2x4 = 8 u |
3x4 = 12 u |
|
|
8 u |
12 u |
5 u |
300 |
Total number of cards
= 8 u + 12 u + 5 u
= 25 u
25 u = 300
1 u = 300 ÷ 25 = 12
Emma |
Olivia |
Gabby |
Total |
8 u |
12 u |
5 u |
300 |
|
- 3 u |
+ 3 u |
|
8 u |
9 u |
8 u |
300 |
Number of cards that Olivia must give to Gabby
= 8 u - 5 u
= 3 u
= 3 x 12
= 36
Answer(s): 36