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Eve is organizing a race to raise money for a local children's hospital. She makes \[tex]$20 for each 5K participant and \$[/tex]45 for each 10K participant. Her goal is to raise \[tex]$9,500.

If \( x \) represents the number of participants in the 5K race and \( y \) represents the number of participants in the 10K race, the linear equation for the given scenario is \(\square \, x + \square \, y = \square \).

If Eve raises exactly \$[/tex]9,500, is it possible for there to be 220 participants in the 5K race? [tex]\(\square\)[/tex] (yes/no)



Answer :

GinnyAnswer
If [tex]\( x \)[/tex] represents the number of participants in the [tex]\( 5 K \)[/tex] race and [tex]\( y \)[/tex] represents the number of participants in the [tex]\( 10 K \)[/tex] race, the linear equation for the given scenario is [tex]\( 20 \)[/tex] [tex]\( x \)[/tex] + [tex]\( 45 \)[/tex] [tex]\( y \)[/tex] = [tex]\( 9500 \)[/tex].

If Eve raises exactly [tex]\( \$ 9500 \)[/tex], is it possible for there to be 220 participants in the [tex]\( 5 K \)[/tex] race? [tex]\( no \)[/tex].