Advertisements
Advertisements
Question
If m : n = 3 : 8, find the value of (3m+2n) : (5m+n)
Advertisements
Solution
m : n = 3 : 8 ⇒ `"m"/"n" = 3/8`
(3m+2n) : (5m+n) = `(3"m" + 2"n")/(5"m" + "n")`
= `(3 xx "m"/"n" + 2)/(5 xx "m"/"n" + 1)`
= `(3 xx 3/8 + 2)/(5 xx 3/8 + 1)`
= `(9/8 + 2)/(15/8 + 1)`
= `25/23` = 25 : 23
(3m+2n) : (5m+n) = 25 : 23
APPEARS IN
RELATED QUESTIONS
If (3a + 2b) : (5a + 3b) = 18 : 29. Find a : b
The ratio between the number of boys and the number of girls in a class is 4:3 . If there were 20 more boys and 12 less girls, the ratio would have been 2:1. Find the total number of students in
the class.
Convert the following percentage to fractions and ratio:
0.25%
Reduce the following ratio to their lowest term:
3 years 4 months : 5 years 5 months.
The ratio of the sale of eggs on a Sunday and that of the whole week at a grocery shop was 2 : 9. If the total value of the sale of eggs in the same week was Rs 360, find the value of the sale of eggs that Sunday.
Which of the following numbers are in continued proportion:
12, 18 and 27
Find the ratio of the first quantity to the second.
15 minutes, 1 hour
If `(3x + 5y)/(3x - 5y) = (7)/(3)` , Find x : y
Present age of father is 42 years and that of his son is 14 years. Find the ratio of age of the father to the age of son, when son was 12 years old.
A rectangular sheet of paper is of length 1.2 m and width 21 cm. Find the ratio of width of the paper to its length.
