Tommy, Harry and Daniel had 175 beads. After Tommy used 3 beads and Harry used
58 of her beads, Tommy had four times as many beads left as Harry. Daniel bought another 10 beads, he had twice the number of beads Harry had left. How many beads did Daniel have at first?
| |
Tommy |
Harry |
Daniel |
Total |
| Before |
12 u + 3 |
8 u |
6 u - 10 |
175 |
| Change |
- 3 |
- 5 u |
+ 10 |
|
| After |
12 u |
3 u |
6 u |
|
Comparing Tommy
and Harry in the end |
4 |
1 |
|
|
Comparing Daniel
and Harry in the end |
|
1 |
2 |
|
Number of beads that Tommy had in the end
= 4 x 3 u
= 12 u
Number of beads that Daniel had in the end
= 2 x 3 u
= 6 u
Total number of beads at first
= 12 u + 3 + 8 u + 6 u - 10
= 26 u - 7
26 u - 7 = 175
26 u = 175 + 7
26 u = 182
1 u = 182 ÷ 26 = 7
Number of beads that Daniel had at first
= 6 u - 10
= 6 x 7 - 10
= 42 - 10
= 32
Answer(s): 32
