Note: We need to find the number of seeds of each color.
Given:
A packet contains blue and yellow flower seeds in the ratio 3:4.
There are 32 flower seeds.
To find:
The number of blue and yellow flower seeds.
Solution:
Let the number of blue and yellow flower seeds are 3x and 4x respectively.
There are 32 flower seeds.
[tex]3x+4x=32[/tex]
[tex]7x=32[/tex]
[tex]x=\dfrac{32}{7}[/tex]
[tex]x\approx 4.57[/tex]
Now,
The number of blue flower seeds is
[tex]3(4.57)=13.71\approx 14[/tex]
The number of yellow flower seeds is
[tex]4(4.57)=18.28\approx 18[/tex]
We approx. the value rounded to the nearest integer because the number of flower seeds cannot be a decimal of fractional value.
Therefore, the number of blue seeds is 14 and the number of yellow seeds is 18.
