Adam has 250 red marbles.
He has 5 times as many red marbles than blue marbles.
After he gives away an equal number of red and blue marbles,
the number of red marbles is 6 times that of the blue marbles.
- How many red marbles are there in the end?
- How many blue marbles are there in the end?
- How many marbles are there in the end?
- How many marbles does Adam give away?
|
Red marbles |
Blue marbles |
Difference |
Before |
5 x 5 = 25 u |
1 x 5 = 5 u |
4 x 5 = 20 u |
Change |
- ? |
- ? |
|
After |
6 x 4 = 24 u |
1 x 4 = 4 u |
5 x 4 = 20 u |
(a)
The difference in the number between the red and blue marbles at first and in the end remains unchanged.
LCM of 4 and 5 is 20.
25 u = 250
1 u = 250 ÷ 25 = 10
Number of red marbles in the end
= 24 u
= 24 x 10
= 240
(b)
Number of blue marbles in the end
= 4 u
= 4 x 10
= 40
(c)
Total number of marbles in the end
= 240 + 40
= 280
(d)
Total number of marbles that Adam gives away
= (25 u - 24 u) x 2
= 1 u x 2
= 2 u
= 2 x 10
= 20
Answer(s): (a) 240; (b) 40; (c) 280; (d) 20