George had 320 more beads than Ethan at first. Then George bought 46 more beads. In the end, George has 3 times as many beads as Ethan.
- How many beads did Ethan have?
- Find the total number of beads George and Ethan had in the end?
| |
George |
Ethan |
Total |
| Before |
1 u + 320 |
1 u |
|
| Change |
+ 46 |
|
|
| After |
1 u + 320 + 46 |
1 u |
4 u |
(a)
Before
Number of beads that George had = 1 u + 320
Number of beads that Ethan had = 1 u
After
Number of beads that George had = 1 u + 320 + 46 = 3 u
Number of beads that Ethan had = 1 u
1 u + 320 + 46 = 3u
1 u + 366 = 3 u
3 u - 1 u = 366
2 u = 366
1 u = 366 ÷ 2 = 183
(a)
Number of beads that Ethan had
= 1 u
= 183
(b)
Number of beads that George and Ethan had in the end
= 3 u + 1 u
= 4 u
= 4 x 183
= 732
Answer(s): (a) 183; (b) 732
