There are 4 less members in Team Red than Team Blue. If 7 members are transferred from Team Red to Team Blue, the total number of members in Team Red become 1/3 the number of Team Blue. How many members are there in Team Red and Team blue respectively?

Let x be the number of members in Team Red and y be the number of members in Team Blue.


help please urgent

Respuesta :

Step-by-step explanation:

we need the numbers before the transfer or after ?

let's assume, x and y represent the initial numbers.

x = y - 4

x - 7 = 1/3 × (y + 7) =

3 × (x - 7) = y + 7

3x - 21 = y + 7

y = 3x - 28

now we use that in the very first equation :

x = 3x - 28 - 4 = 3x - 32

32 + x = 3x

32 = 2x

x = 16

x = y - 4

16 = y - 4

y = 20

so, originally, the red team had 16 members, and the blue team had 20 members.