Question
In an orchard, the ratio of the number of mango and
lichi trees is 5:8, respectively. Also, there are few apple trees in the orchard which is 40% more than the number of mango trees. Total number of trees in the orchard is 105. What is the number of lichi trees in the orchard?Solution
Let the number of mango trees and the lichi trees in the orchard be 5x and 8x respectively. According to the question, Number of apple trees in the orchard = 5x + 0.4 × 5x = 7x Therefore, 5x + 8x + 7x = 105 Or, 20x = 105 Or, x = 5.25 Number of lichi trees in the orchard = 8x = 42
For given pair of equations, how many solutions are possible?
3x + 4y = 15 and 6x + 8y = 10
For given pair of equations, how many solutions are possible?
4x + 6y = 16 and 8x + 12y = 32
The ratio of roots of the equation mx2 + nx + n = 0 is α/ β = a/b, then find the value of `sqrt(a/b)+sqrt(b/a)+sqrt(n/m)`
Find the area between the lines 18x +12y = 108, 9x  + 6y  = 27, x - axis and y -axis.Â
If in two linear equations ax + by = c and dx + ey = f and a/d = b/e = c/f then, which of the following is true about the two equations?
For which value of m, there is no solution to the equation -
a – b = 5
ma – 4b = 1
The lines x + y = 9 and x - y = 3 intersect at point P. Find the coordinates of P.
Solve: (x/3) + (x/5) = 16
Find the value of 'a' and 'b' which satisfy the following equations:
9a + 7b = 30
4a - 5b = 62
If (5√P - 7√Q) = 5, [1.5P = 4Q-(R/3)+9] and (√P/√Q) = 1.6, then find out the value of ‘R’.
