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Define a variable for the number of goals scored by Emma:

Leonie and Emma scored 28 goals between them in a netball match. Leonie scored 8 more goals than Emma.

A. Define a variable for the number of goals scored by Emma.

Sagot :

GinnyAnsweridn
Let's denote the number of goals scored by Emma as [tex]\( x \)[/tex].

Now, according to the problem, Leonie scored 8 more goals than Emma. Therefore, the number of goals scored by Leonie can be represented as [tex]\( x + 8 \)[/tex].

The total number of goals scored by both Emma and Leonie is given to be 28. So, we set up the following equation:

[tex]\[ x + (x + 8) = 28 \][/tex]

Let's solve this equation step-by-step:

1. Combine like terms:
[tex]\[ 2x + 8 = 28 \][/tex]

2. Subtract 8 from both sides to isolate the term with [tex]\( x \)[/tex]:
[tex]\[ 2x = 20 \][/tex]

3. Divide both sides by 2 to solve for [tex]\( x \)[/tex]:
[tex]\[ x = 10 \][/tex]

Thus, the number of goals scored by Emma is [tex]\( 10 \)[/tex] goals.
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