Ben, Charlotte, and Danny have some marbles. The ratio of the number of marbles Ben has to the number of marbles Charlotte has is 7: 2. The total number of marbles Ben and Charlotte have is three times as many as the number of marbles Danny has. Ben and Danny have 300 marbles altogether. How many marbles does Charlotte have?
Answers
Answer: 60
Step-by-step explanation:
Let no. of marbles with ben be 7x.
no. of marbles with charlotte is 2x. (see ratio)
Let no. of marbles with Danny be y.
ATQ, 7x+2x = 3y ⇒ 9x=3y········(1)
Also, 7x+y = 300·····················(2)
From (1), we can substitute y=3x········(3)
Putting (3) in (1),
7x+3x = 300
10x = 300
∴x = 30
No. of marbles with charlotte =2x= 60
Pls mark me as the brainliest...
Step-by-step explanation:
Let the number of marbles Ben and Charlotte have be "7x" and "2x" respectively.
Now, total no. of marbles Ben and Charlotte have = 7x + 2x = 9x
Also, we know that, the number of marbles Ben and Charlotte have is 3 times as many as the no. of marbles Danny has.
So, the no. of marbles Danny has will be 1/3 times of the no. of marbles Ben and Charlotte have.
Therefore, the no. of marbles Danny has = 1/3 of 9x
= 1/3 × 9x
= 3x
So, Total no. of marbles Ben and Danny have = 300
=> 7x + 3x = 300
=> 10x = 300
Therefore, x = 300/10
= 30
Also, No. of marbles Charlotte has = 2x
= 2 × 30
= 60 marbles
Hope it helps :)
And, sorry for the delay