Question

SS.Sochided 17773341/6040069c342090000187a/item/60356209a72610006c6SacaDamagesEQuestion /> NEXTQBookmarklongaxThere are 12 total peacocks and sheep on your arm. The number of sheep is 3 more than twice the number of peacocks How many peacocks and sheep do you have on your arm?canauticalDefine your variablesLex

Answer 1

Step 1 :

In this question, we are told that there are 12 total peacocks and sheep on your arm.

The number of sheep is 3 more than twice the number of peacocks.

How many peacocks and sheep do you have on your farm?

Step 2 :

`\begin{gathered} Let\text{ the peacock be x ,} \\ \text{Let the sh}eep\text{ be y.} \end{gathered}`
`x\text{ + y = 12 ---- equ 1}`
`\text{But y = 2x + 3 ---equ 2}`
`\begin{gathered} p\text{ut y = 2 x + 3 in equ 1 , we have that:} \\ x\text{ + ( 2 x + 3 ) = 12 } \\ 3\text{ x + 3 = 12} \\ \text{collecting like terms, we have that:} \\ 3\text{ x = 12 - 3} \\ \text{3x = 9 } \\ \text{Divide both sides by 3 , we have that:} \\ x\text{ = }(9)/(3) \\ x\text{ = 3} \end{gathered}`

a) How many peacocks do you have on your farm?

x = 3

b) How many sheep do you have on your farm?

`\begin{gathered} \text{Recall that y= 2x + 3 } \\ \text{when x = 3,} \\ y\text{ = 2 ( 3 ) + 3 } \\ y\text{ = 6 + 3 } \\ \text{y = 9.} \end{gathered}`