Ken had 350 more beads than Rael at first. Then Ken bought 44 more beads. In the end, Ken has 3 times as many beads as Rael.
- How many beads did Rael have?
- Find the total number of beads Ken and Rael had in the end?
| |
Ken |
Rael |
Total |
| Before |
1 u + 350 |
1 u |
|
| Change |
+ 44 |
|
|
| After |
1 u + 350 + 44 |
1 u |
4 u |
(a)
Before
Number of beads that Ken had = 1 u + 350
Number of beads that Rael had = 1 u
After
Number of beads that Ken had = 1 u + 350 + 44 = 3 u
Number of beads that Rael had = 1 u
1 u + 350 + 44 = 3u
1 u + 394 = 3 u
3 u - 1 u = 394
2 u = 394
1 u = 394 ÷ 2 = 197
(a)
Number of beads that Rael had
= 1 u
= 197
(b)
Number of beads that Ken and Rael had in the end
= 3 u + 1 u
= 4 u
= 4 x 197
= 788
Answer(s): (a) 197; (b) 788
