Valen, Japheth and Cole had a total of 438 marbles at first. After a week, the number of Valen's marbles became 3 times the number of marbles he had at first. The number of Japheth's marbles decreased by 188. Cole had half as many marbles as he had at first. In the end, the three boys had the same number of marbles.
- How many marbles did Cole have at first?
- What was the total number of marbles that the three boys had in the end?
|
Valen |
Japheth |
Cole |
Total |
Before |
1 u |
3 u + 188 |
6 u |
|
Change |
x 3 |
- 188 |
x 12 |
|
After |
3 u |
3 u |
3 u |
9 u |
(a)
Total number of marbles at first
=
1 u + 3 u + 188 + 6 u
= 10 u + 188
10 u + 188 = 43810 u = 438 - 18810 u = 250
1 u = 250 ÷ 10 = 25 Number of marbles that Cole had at first
= 3 u ÷
12= 3 u x
21= 6 u = 6 x 25 = 150(b)Total number of marbles that the three boys had at the end = 9 u = 9 x 25 = 225 Answer(s): (a) 150; (b) 225