Question

A gardener plants red roses: yellow roses: white roses: pink roses in the ratio
5 : 2 : 3 : 1. He plants 45 yellow and white roses in total. How many roses does he
plant altogether?

Answer 1

Step-by-step explanation:

roses are in ratio

5:2:3:1

ratio of yellow and white roses

2:3

let the ratio be assumed x

then 2x+3x=45

hence 5x =45

x=9

now

no of red roses = 5 x 9=45

no of yellow roses =2 x 9= 18

no of white roses =36

no of pink roses = 9

total no of roses=99

Answer 2

The total number of roses that the gardener has is 99 roses.

Step-by-step explanation:

The ratio of roses =

Red Roses: Yellow Roses: White Roses: Pink Roses

$= 5:2:3:1$

Given:

Yellow and White roses = 45 roses

If we take 'x' and multiply it with the ratio then;

$Ratio = 5x: 2x: 3x: 1x$

If we consider the ratio of yellow and white flowers only

Yellow roses : White roses

= $2x : 3x$

$2x +3x = 45\\5x = 45\\x = 9$

Now, to calculate the total number of rose we substitute the calculated value of x;

$5*9\ + 2*9\ + 3*9\ + 1*9\\= 45+18+27+9\\= 99\ roses$