Dan, Gordon and Malachy share some sweets in the ratio 4:3:5. Dan gets 48 sweets. How many sweets are there altogether?
Answers
Answer:
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Given :-
Ratio in which the sweets were shared = 4 : 3 : 5
Number of sweets Dan got = 48 sweets
Required to find :-
Total number of sweets
Solution :-
Ratio in which the sweets were shared = 4 : 3 : 5
Number of sweets Dan got = 48 sweets
We need to
find the total number of sweets
So,
Consider the given ratio = 4 : 3 : 5
However
Let the Dan share be 4x
Gordon share be 3x
Malachy share be 5x
But it is given that ;
Dan received 48 sweets
So using this let's find the value of x
Hence,
4x = 48
x = 48/4
x = 12 sweets
So,
No. of sweets received by Gordon = 3x = 3 ( 12 ) = 36 sweets
Similarly,
No. of sweets received by Malachy = 5x = 5 ( 12 ) = 60 sweets
This implies,
Total number of sweets = Number of sweets received by Dan + Gordon + Malachy
=> Total no. of sweets = 48 + 36 + 60
=> Total no. of sweets = 144 sweets