Re: The price of an apple, a mango and an orange is $2, $5 and $6 respecti
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07 Aug 2023, 07:54
OE
Letโs say that John bought A apples, M mangoes and O oranges, thus;
As it is given that John spent $S on apples, where cost of each apple is $2.
2๐ด = ๐, ๐๐ ๐ด =๐/2
Also, it is given that John spent $ 2S on mangoes, where cost of each mango is $5
5๐ = 2๐, ๐๐ ๐ =2๐/5
and John spent $ 4S on oranges, where cost of each orange is $4
60 = 4๐, ๐๐ 0 =4๐/6=2๐/3
Since, A, M and O are the number of apples, mangoes and oranges respectively, thus all A, M and O must be an integer.
And, since A, M and O are integers, hence ๐ must be divisible by 2, 5 ๐๐๐ 3 to give the integer values of A, M and O.
Now, as ๐ is divisible by 2, 5 ๐๐๐ 3, thus it is divisible by ๐ฟ๐ถ๐ ๐๐ (2, 5, 3) = 30
Therefore, ๐ is a multiple of 30
If S is a multiple of 30 then S can be divided evenly and the remainder is zero
C is the answer