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

Question

asked Mar 24, 2018 135k views

2 Answers

Ed Burnette · Answer 1 · 2018-03-29T16:24:23+0000

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:

(2)/(5)=(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):

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

$y = (105)/(7)\\y = 15$

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