Andy, Justin and Vaidev had a total of 448 marbles at first. After a week, the number of Andy's marbles became 4 times the number of marbles he had at first. The number of Justin's marbles decreased by 279. Vaidev 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 Vaidev have at first?
- What was the total number of marbles that the three boys had in the end?
|
Andy |
Justin |
Vaidev |
Total |
Before |
1 u |
4 u + 279 |
8 u |
|
Change |
x 4 |
- 279 |
x 12 |
|
After |
4 u |
4 u |
4 u |
12 u |
(a)
Total number of marbles at first
=
1 u + 4 u + 279 + 8 u
= 13 u + 279
13 u + 279 = 44813 u = 448 - 27913 u = 169
1 u = 169 ÷ 13 = 13 Number of marbles that Vaidev had at first
= 4 u ÷
12= 4 u x
21= 8 u = 8 x 13 = 104(b)Total number of marbles that the three boys had at the end = 12 u = 12 x 13 = 156 Answer(s): (a) 104; (b) 156