Adam has 150 blue marbles.
He has 5 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 |
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 blue and red marbles at first and in the end remains unchanged.
LCM of 4 and 5 is 20.
25 u = 150
1 u = 150 ÷ 25 = 6
Number of blue marbles in the end
= 24 u
= 24 x 6
= 144
(b)
Number of red marbles in the end
= 4 u
= 4 x 6
= 24
(c)
Total number of marbles in the end
= 144 + 24
= 168
(d)
Total number of marbles that Adam gives away
= (25 u - 24 u) x 2
= 1 u x 2
= 2 u
= 2 x 6
= 12
Answer(s): (a) 144; (b) 24; (c) 168; (d) 12