Question

there are some roses,lilies, and orchids in the vase. The number of roses is twice the number of lilies and the number of orchids is 5 more than the number of roses. if the total is 45, find the number of each type of flower

Answer 1

The number of roses is 16

The number of lilies is 8

The number of orchids is 21

Explanation:

Let

x-----> the number of roses

y-----> the number of lilies

z-----> the number of orchids

we know that

x=2y ----> y=x/2 ----> equation A

z=x+5 ---> equation B

x+y+z=45 ----> equation C

substitute equation A and equation B in equation C and solve for x

x+(x/2)+(x+5)=45

(5/2)x=45-5

(5/2)x=40

x=40*2/5

x=16 roses

Find the value of y

y=x/2 ----> y=16/2=8 lilies

Find the value of z

z=x+5 -----> z=16+5=21 orchids

therefore

The number of roses is 16

The number of lilies is 8

The number of orchids is 21