Mrs. Garcia has two kinds of flowers in her garden. The ratio of lilies to daisies in the garden 3:2 if there are 15 lilies, what is the total number of flowers in her garden?

The total number of flowers in Mrs. Garcia's garden is 25.

Step-by-step explanation:

The ratio of lilies to daisies is 3:2 and there are 15 lilies. We need to compute the number of daisies first and then add both the number of daisies and lilies to compute the total number of flowers. Using the ratio method:

Lilies : Daisies

  3    :     2

  15   :    x

By cross multiplying we get:

3x = 15*2

3x = 30

x = 10

Hence, the total number of flowers in the garden are:

10 + 15 = 25

The total number of flowers in Mrs. Garcia's garden is 25.

the answer is b

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3