Question

Sweet t has 2 orange picks for every 5 green. if there are 21 picks in all how many picks are orange

Answer 1

Six oranges. Bdjsks nd

Answer 2

For this case we have the following variables:

x: Quantity of orange picks

y: Quantity of green picks

According to the statement, we have the following proportion:

$\frac{2}{5}=\frac{x}{y}$, that is:

$5x = 2y$

If there are 21 picks, then:

$x + y = 21$

So, we have two equations with two unknowns:

$5x = 2y$ ----> (1)

$x + y = 21$ ----> (2)

From (2):

$x = 21-y$

Substituting x in (1):

$5 (21-y) = 2y\\105-5y = 2y\\105 = 7y$

$y = \frac{105}{7}\\y = 15$

Substituting$y = 15$ in (2) and clearing x, we have:

$x + 15 = 21$

$x = 21-15$

$x = 6$

So, there are 6 orange picks

Answer:

6 orange picks