Adam has 50 red beads and 280 green beads.
After buying the same number of beads,
the ratio of the red beads and the green beads becomes 3 : 8.
How many beads does he buy?
|
Red |
Green |
Difference |
Before |
50 |
280 |
230 |
Change |
+ ? |
+ ? |
|
After |
3 u |
8 u |
5 u |
At first
Difference in the number of beads
= 280 - 50
= 230
In the end
Number of red beads = 3 u
Number of green beads = 8 u
Difference in the number of beads in units
= 8 u - 3 u
= 5 u
The difference in the number of beads between the red beads and the green beads remains unchanged.
5 u = 230
1 u = 230 ÷ 5 = 46
Number of red beads that Adam buys
= 3 u - 50
= 3 x 46 - 50
= 138 - 50
= 88
Total number of beads that Adam buys
= 2 x 88
= 176
Answer(s): 176