A box of 42 chocolates contains milk and dark chocolates in the ratio of 3:4. How many chocolates of each type there are?
Mathematics · Middle School · Thu Feb 04 2021
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Let the number of milk chocolates be x
Let the number of dark chocolates be y
Given that the box contains the milk and
dark chocolates in the ratio 3:4.
So x/y =3/ 4 ….(1)
Given that the total number of chocolates
are 42.
So, x+ y= 42 …… (2)
Using (1) and (2),
x+ 4/3 x = 42 {y = (4/3)x by eq.1}
7/3x = 42
x = 18
y = 4/3 × x
y = 4/3 × 18
y = 24
So,the number of milk chocolates are 18
and the number of dark chocolates are 24.