Tommy, Andy and Ethan had 210 beads. After Tommy used 32 beads and Andy used
38 of her beads, Tommy had thrice as many beads left as Andy. Ethan bought another 37 beads, he had four times the number of beads Andy had left. How many beads did Ethan have at first?
| |
Tommy |
Andy |
Ethan |
Total |
| Before |
15 u + 32 |
8 u |
20 u - 37 |
210 |
| Change |
- 32 |
- 3 u |
+ 37 |
|
| After |
15 u |
5 u |
20 u |
|
Comparing Tommy
and Andy in the end |
3 |
1 |
|
|
Comparing Ethan
and Andy in the end |
|
1 |
4 |
|
Number of beads that Tommy had in the end
= 3 x 5 u
= 15 u
Number of beads that Ethan had in the end
= 4 x 5 u
= 20 u
Total number of beads at first
= 15 u + 32 + 8 u + 20 u - 37
= 43 u - 5
43 u - 5 = 210
43 u = 210 + 5
43 u = 215
1 u = 215 ÷ 43 = 5
Number of beads that Ethan had at first
= 20 u - 37
= 20 x 5 - 37
= 100 - 37
= 63
Answer(s): 63
