A Bill in the U.S House of Representatives passed because at least 2/3 of the members present voted in favor of it. If the bill received 284 votes, at least how many members of the House of Representatives were present for the vote?

Respuesta :

Answer:

Members of the House of Representatives present for the vote were atleast 426 .

Step-by-step explanation:

As given

A Bill in the U.S House of Representatives passed because at least [tex]\frac{2}{3}[/tex] of the members present voted in favor of it.

If the bill received 284 votes .

Let us assume that the total members of the House of Representatives were present for the vote be x .

Than the equations becomes

[tex]\frac{2}{3}\times Total\ number\ of\ Representatives\ present\ for\ vote \geq 284[/tex]

[tex]\frac{2}{3}\times x \geq 284[/tex]

[tex]2x \geq 284\times 3[/tex]

[tex]2x \geq 852[/tex]

[tex]x\geq \frac{852}{2}[/tex]

[tex]x\geq 426[/tex]

Therefore members of the House of Representatives present for the vote were atleast 426 .