Adam has 270 blue marbles.
He has 3 times as many blue marbles than red marbles.
After he gives away an equal number of blue and red marbles,
the number of blue marbles is 6 times that of the red marbles.
- How many blue marbles are there in the end?
- How many red marbles are there in the end?
- How many marbles are there in the end?
- How many marbles does Adam give away?
|
Blue marbles |
Red marbles |
Difference |
Before |
3 x 5 = 15 u |
1 x 5 = 5 u |
2 x 5 = 10 u |
Change |
- ? |
- ? |
|
After |
6 x 2 = 12 u |
1 x 2 = 2 u |
5 x 2 = 10 u |
(a)
The difference in the number between the blue and red marbles at first and in the end remains unchanged.
LCM of 2 and 5 is 10.
15 u = 270
1 u = 270 ÷ 15 = 18
Number of blue marbles in the end
= 12 u
= 12 x 18
= 216
(b)
Number of red marbles in the end
= 2 u
= 2 x 18
= 36
(c)
Total number of marbles in the end
= 216 + 36
= 252
(d)
Total number of marbles that Adam gives away
= (15 u - 12 u) x 2
= 3 u x 2
= 6 u
= 6 x 18
= 108
Answer(s): (a) 216; (b) 36; (c) 252; (d) 108