Aarti, Brinda and Chandan shared 110
marbles. Brinda received twice as many
marbles as Aarti. Chandan received 10
marbles more than Aarti. How many marbles
did each child receive?
Answers
Step-by-step explanation:
Given :-
Aarti, Brinda and Chandan shared 110 marbles. Brinda received twice as many marbles as Aarti. Chandan received 10 marbles more than Aarti.
To find :-
How many marbles did each child receive?
Solution :-
Given that :
Total number of marbles is shared among Aarti, Brinda and Chandan = 110
Let the marbles received by Aarti be X
Then , The number of marbles received by Chandan = 10 marbles more than Aarti
=>X+10
Number of marbles received by Brinda
= twice as many marbles as Aarti.
=> 2X
Total number of marbles
= X+2X+X+10
= 4X+10
According to the given problem
Total marbles = 110
=> 4X+10 = 110
=> 4X = 110-10
=> 4X = 100
=> X = 100/4
=> X = 25
so, X+10 = 25+10=35
2X = 2×25 = 50
Answer:-
Number of marbles received by Aarti
= 25
Number of marbles received by Brinda
= 50
Number of marbles received by Chandan =35
Check :-
Total marbles received by them 25 ,50,35
Total = 25+50+35 = 110
Verified the given relations in the given problem.
Answer:
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