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In a video game, Clare scored 50% more points than Tyler. If c is the number of points that Clare scored and t is the number of points that Tyler scored, which equations are correct? Select all that apply.A. c=1.5tB.c=t+0.5C. c=t+0.5tD. c=t+50E.c=(1+0.5)t

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SOLUTION

Now Clare's score is c and Tyler's score is t.

Clare score 50% more points than Tyler means

[tex]Clare=(\frac{50}{100}\times Tyler)+\text{Tyler }[/tex]

So we have

[tex]\begin{gathered} c=(\frac{50}{100}\times t)+t \\ c=(0.5t)+t \\ c=0.5t+t \\ c=1.5t \end{gathered}[/tex]

Hence option A is correct.

Also from

[tex]\begin{gathered} c=0.5t+t \\ c=t+0.5t \end{gathered}[/tex]

Hence option C is also correct

And from

[tex]\begin{gathered} c=0.5t+t \\ c=t+0.5t \\ c=t(1+0.5) \\ c=(1+0.5)t \end{gathered}[/tex]

E is also correct

Hence the correct options are A, C and E

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