David had 328 more cards than Japheth at first. Then David bought 52 more cards. In the end, David has 5 times as many cards as Japheth.
- How many cards did Japheth have?
- Find the total number of cards David and Japheth had in the end?
| |
David |
Japheth |
Total |
| Before |
1 u + 328 |
1 u |
|
| Change |
+ 52 |
|
|
| After |
1 u + 328 + 52 |
1 u |
6 u |
(a)
Before
Number of cards that David had = 1 u + 328
Number of cards that Japheth had = 1 u
After
Number of cards that David had = 1 u + 328 + 52 = 5 u
Number of cards that Japheth had = 1 u
1 u + 328 + 52 = 5u
1 u + 380 = 5 u
5 u - 1 u = 380
4 u = 380
1 u = 380 ÷ 4 = 95
(a)
Number of cards that Japheth had
= 1 u
= 95
(b)
Number of cards that David and Japheth had in the end
= 5 u + 1 u
= 6 u
= 6 x 95
= 570
Answer(s): (a) 95; (b) 570
