Question

In this soccer season Emma has scored one more than twice the number of Nikki's goals if Emma has scored 15 goals which equation can be used to find X number of goals

Answer 1

`X = 22`

Explanation:

Given

Represent Emma with E and Nikki with N

From the question, we have that:

`E = 1 + 2N`

and

`E = 15`

Required

Determine the X number of goals

Substitute 15 for E in
`E = 1 + 2N`

`15 = 1 + 2N`

Subtract 1 from both sides

`15 -1 = 1 - 1 + 2N`

`14 = 2N`

Divide both sides by 2

`(14)/(2) = (2N)/(2)`

`(14)/(2) = N`

`7 = N`

`N=7`

This implies that Nikki scored 7 goals in total

The X number of goals is then calculated as:

`X = N + E`

`X = 7 + 15`

`X = 22`