George, Japheth and Albert had a total of 437 marbles at first. After a week, the number of George's marbles became 5 times the number of marbles he had at first. The number of Japheth's marbles decreased by 85. Albert 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 Albert have at first?
- What was the total number of marbles that the three boys had in the end?
|
George |
Japheth |
Albert |
Total |
Before |
1 u |
5 u + 85 |
10 u |
|
Change |
x 5 |
- 85 |
x 12 |
|
After |
5 u |
5 u |
5 u |
15 u |
(a)
Total number of marbles at first
=
1 u + 5 u + 85 + 10 u
= 16 u + 85
16 u + 85 = 43716 u = 437 - 8516 u = 352
1 u = 352 ÷ 16 = 22 Number of marbles that Albert had at first
= 5 u ÷
12= 5 u x
21= 10 u = 10 x 22 = 220(b)Total number of marbles that the three boys had at the end = 15 u = 15 x 22 = 330 Answer(s): (a) 220; (b) 330