Answer dan, gordon and malachy share some sweets in the ratio 4:3:5. dan gets 48 sweets. how many sweets are there altogether?
Answers
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 recevied 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 recevied by Gordon = 3x = 3 ( 12 ) = 36 sweets
Similarly,
No. of sweets recevied by Malachy = 5x = 5 ( 12 ) = 60 sweets
This implies,
Total number of sweets = Number of sweets recevied by Dan + Gordon + Malachy
=> Total no. of sweets = 48 + 36 + 60
=> Total no. of sweets = 144 sweets
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✰Question ✰
❍ Dan, Gordon and Malachy share some sweets in the ratio 4:3:5. dan gets 48 sweets. how many sweets are there altogether ?
_______________________________
✰Given :-
⋄ Dan gets 48 sweets.
⋄ Ratio of sweets each get 4:3:5
_______________________________
✰Solution :-
⋄Let, the ratio of sweets each get 4x,3x,5x
Number of sweets Dan get is 48
so , we need to find the value of x
⋄ 4x=48
⋄ x=48/4=12
∴ x=12
Now, putting this value in ratios
➧ Dan get 48 sweets
➧ Gordon get 3x= 3×12=36sweets.
➧ Malachy get 5x=5×12= 60sweets.