Ryan bought 46 more cards than Cody and Cody bought 19 cards more than Usha. The total number of cards Ryan and Cody bought was 6 times the number of cards Usha bought.
- How many cards does Ryan need to give Cody so that they have the same number of cards?
- How many cards did all three of them have altogether?
Ryan |
Cody |
Usha |
1 u + 19 + 46 |
1 u + 19 |
1 u |
6 u |
1 u |
(a)
Number of cards that Ryan needs to give Cody so that they have same number of cards
= 46 ÷ 2
= 23
(b)
Total number of cards that Ryan and Cody had
= 1 u + 19 + 46 + 1 u + 19
= 1 u + 1 u + 19 + 46 + 19
= 2 u + 84
6 u = 2 u + 84
6 u - 2 u = 84
4 u = 84
1 u = 84 ÷ 4 = 21
Total number of cards that all three of them had
= 6 u + 1 u
= 7 u
= 7 x 21
= 147
Answer(s): (a) 23; (b) 147