Three bags, W, X and Y contained a certain number of cards. Bag Y contained
310 as many cards as W and X combined. There were 74 more cards in Bag W than in Bag Y. Bag X contained 150 more cards than Bag Y. How many cards were in Bag X?
| Bag W |
Bag X |
Bag Y |
Total |
| 10 u |
3 u |
13 u |
| 3 u + 74 |
3 u + 150 |
|
|
The total number of cards in Bag W and Bag X is repeated.
3 u + 74 + 3 u + 150 = 10 u
6 u + 224 = 10 u
10 u - 6 u = 224
4 u = 224
1 u = 224 ÷ 4 = 56
Number of cards in Bag X
= 3 u + 150
= 3 x 56 + 150
= 318
Answer(s): 318
