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Someone help Duane scored 55 points in the last basketball game, which is 10 points more than his previous personal best. LeBron scored 15 points more than Chris in the same game. LeBron scored the same number of points as Dwayne‘s previous personal best. Let D represent the number of points Dwayne scored during his previous personal best and C Represent the number of crest points. Question: how many points did Chris score during the game? If these are the only three players who scored, What was the teams totals number of points at the end of the game?

Respuesta :

MrRoyal

Answer:

130 points

Step-by-step explanation:

Given

[tex]Scorers: Duane,\ LeBron\ \&\ Chris[/tex]

[tex]D=Dwayne[/tex]

[tex]C = Chris[/tex]

[tex]L = LeBron[/tex]

So, we have:

[tex]L = 15 + C[/tex] --- 15 more than Chris

[tex]L =D -10[/tex] --- Same as Dwayne previous personal best

[tex]D = 55[/tex] -- Dwayne's point

Required

Find the total points

We have:

[tex]L = 15 + C[/tex]

[tex]L =D -10[/tex]

[tex]D = 55[/tex]

Substitute [tex]D = 55[/tex] in [tex]L =D -10[/tex]

[tex]L = 55 - 10[/tex]

[tex]L = 45[/tex]

Substitute [tex]L = 45[/tex] in [tex]L = 15 + C[/tex]

[tex]45 = 15 + C[/tex]

[tex]C =45 -15[/tex]

[tex]C =30[/tex]

So, we have:

[tex]D = 55[/tex]

[tex]L = 45[/tex]

[tex]C =30[/tex]

The total points is calculated as:

[tex]Total = D + L + C[/tex]

[tex]Total = 55 + 45 + 30[/tex]

[tex]Total = 130[/tex]

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