Question

If 3/10 of the flowers are green and 3/4 of the rest are yellow. And the rest are purple. How many flowers do you have if you have 119 purple flowers

Answer 1

680 purple flowers

Explanation:

Its divided into thirds. 2/3 is purple and 1/3 is yellow.

Answer 2

The total number of flowers is 680

Explanation:

Let

x -----> the number of flowers green

y ----> the number of flowers yellow

z ----> the number of flowers purple

we know that

`x=(3)/(10)(x+y+z)` ----> equation A

The rest is equal to

`(7)/(10)(x+y+z)`

so

`y=((3)/(4))(7)/(10)(x+y+z)`

`y=(21)/(40)(x+y+z)` -----> equation B

`z=((1)/(4))(7)/(10)(x+y+z)`

`z=(7)/(40)(x+y+z)` -----> equation C

Remember that

`z=119`

substitute in equation C and solve for (x+y+z)

(x+y+z) ----> is the total of flowers

`119=(7)/(40)(x+y+z)`

`(x+y+z)=119(40)/7`

`(x+y+z)=680`

Find the value of x

substitute in the equation A

`x=(3)/(10)(680)=204`

Find the value of y

substitute in the equation B

`y=(21)/(40)(680)=357`

therefore

The number of flowers green is 204

The number of flowers yellow is 357

The he number of flowers purple is 119

The total number of flowers is 680