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

Answer:

The total number of flowers is 680

Step-by-step explanation:

Let

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

y ----> the number of flowers yellow

z ----> the number of flowers purple

we know that

$x=\frac{3}{10}(x+y+z)$ ----> equation A

The rest is equal to

$\frac{7}{10}(x+y+z)$

so

$y=(\frac{3}{4})\frac{7}{10}(x+y+z)$

$y=\frac{21}{40}(x+y+z)$ -----> equation B

$z=(\frac{1}{4})\frac{7}{10}(x+y+z)$

$z=\frac{7}{40}(x+y+z)$ -----> equation C

Remember that

$z=119$

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

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

$119=\frac{7}{40}(x+y+z)$

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

$(x+y+z)=680$

Find the value of x

substitute in the equation A

$x=\frac{3}{10}(680)=204$

Find the value of y

substitute in the equation B

$y=\frac{21}{40}(680)=357$

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

Answer 2

Answer:

680 purple flowers

Step-by-step explanation:

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