If 3 boys shared x oranges among themselves in the ratio 3:5:8, and smallest share was 45 oranges, find the value of x
A
75
B
120
C
165
D
195
E
240
Verified Correct Answer: E.
Step-by-Step Mathematical Solution
Total ratio = 3 + 5 + 8 = 16
Total orange shared = x
Smallest share received = 45
The orange shared = \(\frac{3}{16} \times\) x = 45
3x = 16 x 45
x = 16 x 15 = 240 oranges
Source: Myschool Past Questions Archive (Record #41815)