The ratio of the number of roses to the number of lilies in a flower shop is 3:5. One sixth of the roses and half of the lilies are white. If there are a total of 24 white flowers, how many lilies are in the flower shop?

There are 240 lilies in the flower shop.

Step-by-step explanation:

The ratio of number of roses to number of lilies = 3:5

Let the number of roses be represented by x, and the number of lilies be represented by y.

Given that: of x and of y are white.

Thus;

of x = 24

= 24

x = 6 x 24

  = 144

There are 144 roses in the shop.

The ratio of number of roses to number of lilies = 3:5

So that, = 48

y = 48 x 5 = 240

The number of lilies in the shop = 240

The ratio of number of roses to number of lilies = 144:240

                                                                                  = 3:5

the quotient is 4x^2 - 27x + 167 with a remainder of -996

step-by-step explanation:

in synthetic division, use -6 as the divisor and use the coefficients {4, -3, 5, 6}:

-6     )   4     -3     5     6

                -24   162 -1002

          4   -27   167   -996

thus, the quotient is 4x^2 - 27x + 167 with a remainder of -996.

note:   your "4x°-3x+5x+6" is ambiguous / incomplete.   i had to assume that you meant '4x^3 - 3x^2 + 5x + 6."