A gardener planted flowers of different colors. 3/10 of the flowers are yellow.
3/4 of the remaining flowers are green.
The rest are purple.

The gardener planted 119 purple flowers, how many flowers did the gardener plant?

The gardener planted 680 flowers

Step-by-step explanation:

The different colors of flowers planted by the gardener are;

The proportion of the flowers planted that are yellow = 3/10

The proportion of the remaining flowers planted that are green = 3/4

The color of the rest of the flower planted = Purple

The number of purple flowers planted = 119 purple flowers

Let the number of flowers the gardener planted = x

Therefore, the number of yellow flowers planted = 3/10 × x

The number of green flowers planted = 3/4 × (x -  3/10 × x) = 21/40×x

The number of the rest of the flower which are purple = x - (3/10 × x+ 21/40×x) = x - 33/40×x = 7/40×x

∴ The number of the purple flowers planted = 7/40×x = 119

x = 119 × 40/7 = 680

The number of flowers the gardener planted = x = 680 flowers

The gardener planted 680 flowers.

the multiples of 15 are 15, 30,45, 60, 75, 90, 105, 120, 135, 150, 165, 180, 195,   210, 225, 240, 255, 270, 285, 300, 315, 330, 345, 360, 375,   390, 405, 420, 435, 450, 465, 480, 495, 510, 525, 540, 555, 570, 585, 600, 615, 630, 645, 660, 675, 690, 705, 720, and 735.

the factors of 15 are 1, 3, 5, and 15.

hope that , fam!

-une, your fren : )

x = 2

step-by-step explanation:

if sr parallel to ba then the sides bc and ac are in proportion, that is

= ← substitute values

= ( cross- multiply )

27x = 6(4x + 1)

27x = 24x + 6 ( subtract 24x from both sides )

3x = 6 ( divide both sides by 3 )

x = 2