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:

`(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