Advertisements
Advertisements
Question
If a : b = 3 : 8, find the value of `(4a + 3b)/(6a - b)`.
Advertisements
Solution
Given, a : b = 3 : 8
`=> a/b = 3/8`
`(4a + 3b)/(6a - b) = (4(a/b) + 3)/(6(a/b) - 1)` ...(Dividing each term by b)
= `(4(3/8) + 3)/(6(3/8) - 1)`
= `(3/2 + 3)/(9/4 - 1)`
= `(9/2)/(5/4)`
= `18/5`
RELATED QUESTIONS
Find the sub-duplicate ratio of 9x2a4 : 25y6b2
Convert the following percentage to fractions and ratio:
0.25%
If x2, 4 and 9 are in continued proportion, find x.
Express the given ratio in its simplest form: 200 m : 5 km
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.
Choose the correct answer from the given options :
Two numbers are in the ratio 7 : 9. If the sum of the numbers is 288, then the smaller number is
The ratio of 8 books to 20 books is ______.
The students of a school belong to different religious backgrounds. The number of Hindu students is 288, the number of Muslim students is 252, the number of Sikh students is 144 and the number of Christian students is 72. Find the ratio of the number of Hindu students to the number of Christian students.
A tea merchant blends two varieties of tea costing her Rs. 234 and Rs. 130 per kg in the ratio of their costs. If the weight of the mixture is 84 kg, then find the weight of each variety of tea.
In the ratio 7 : 11, which term is called the consequent?
