At a football match, one-third of spectators support the Reds and the rest support the Blues. At half-time 345 Blues supporters leave because their team is losing and the remaining Blues supporters now make up one-third of the total. How many Reds supporters are there?

Respuesta :

The number of Red supporters are 345

How to determine the value

From the given information, we have that

Red supporters = 1/3 x

Let the total number of supporter be x

1/3 x + blues = x

1/3x + 1/3x + 345 = x

2/3x + 345 = x

Collect like terms

[tex]x - \frac{2x}{3} = 345[/tex]

[tex]\frac{1}{3} x = 345[/tex]

Cross multiply

[tex]x = 3[/tex] × [tex]345[/tex]

[tex]x = 1035[/tex]

We have red supporters = 1/3x

⇒ [tex]\frac{1}{3}[/tex] × [tex]1035[/tex]

⇒ [tex]345[/tex]

Thus, the number of Red supporters are 345

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