Rekha and Kallu have a certain number of red and black marbles with them. The ratio of red marbles to black marbles with them is 7 : 1 and 9 : 1 respectively. If the total number of marbles with the two persons is 90, what can be the number of red marbles with Kallu?
Answers
Answer:
45
Step-by-step explanation:
Let the common number be 'x' and total number of marbles is 90.
therefore 7x+x+9x+x=90
18x=90
x=5
Therefore red marbles with kallu=9*5=45
Answer:
Number of red marbles with Kallu is 45.
Step-by-step explanation:
Given, Rekha and Kallu have a certain number of red and black marbles with them.
Total number of marbles with both of them = 90
Ratio of red to black marbles with Rekha = 7 : 1
Ratio of red to black marbles with Kallu = 9 : 1
Let total number of marbles with Rekha = 8
Number of red marbles with Rekha = 7
Number of black marbles with Rekha = 1
Let total number of marbles with Kallu = 10
Number of red marbles with Kallu = 9
Number of black marbles with Kallu = 1
Total number of marbles with both of them = 10 + 8 = 18
But the actual total number of marbles with both of them is 90.
So we need to scale the values for 18 to values for 90.
To find the actual number of red marbles with Kallu, we should first find the value of a factor that can be used to scale 18 to 90.
Let the scaling factor be x.
90 = 18x
x = 5
Number of red marbles with Rekha = 7 x = 7*5 = 35
Number of black marbles with Rekha = 1x = 1*5 = 5
Number of black marbles with Kallu = 1x = 1*5 = 5
Number of red marbles with Kallu = 9x = 9 * 5 = 45
Therefore, Number of red marbles with Kallu is 45.
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