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Jon and Lexi are playing a marble game. According to their rules, 6 points are awarded for each red marble collected and 2 points are awarded for each blue marble collected.

Which expression represents Jon's total score if he has [tex]r[/tex] red marbles and [tex]b[/tex] blue marbles?

A. [tex]6r - 2b[/tex]
B. [tex]6r + 2b[/tex]
C. [tex]6r - 4b[/tex]
D. [tex]8rb[/tex]


Sagot :

To determine Jon's total score based on the number of red and blue marbles he has collected, we need to follow the points awarded for each type of marble according to the game rules.

1. Jon is awarded 6 points for each red marble he collects.
2. Jon is awarded 2 points for each blue marble he collects.

Let's denote the number of red marbles Jon has as [tex]\( r \)[/tex] and the number of blue marbles Jon has as [tex]\( b \)[/tex].

To find Jon's total score, we'll use an expression that combines the points for red and blue marbles:

- For each red marble, Jon earns 6 points. Hence, for [tex]\( r \)[/tex] red marbles, he will earn [tex]\( 6r \)[/tex] points.
- For each blue marble, Jon earns 2 points. Hence, for [tex]\( b \)[/tex] blue marbles, he will earn [tex]\( 2b \)[/tex] points.

To obtain the total score, we sum the points from the red marbles and the blue marbles:

[tex]\[ \text{Total Score} = 6r + 2b \][/tex]

Thus, the expression representing Jon's total score, if he has [tex]\( r \)[/tex] red marbles and [tex]\( b \)[/tex] blue marbles, is:

[tex]\[ 6r + 2b \][/tex]

Therefore, the correct option from the given choices is:

[tex]\[ \boxed{6r + 2b} \][/tex]
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