Based on the Census, state A has 17 fewer electoral votes for president then state B. If the total number of electoral votes for these two states is 87, find the number for each state. Let x represent the number of electoral votes in state B. Then ? represents the number of electoral votes for state A.

Respuesta :

x = B.......x - 17 = A

x + x - 17 = 87
2x - 17 = 87
2x = 87 + 17
2x = 104
x = 104/2
x = 52........so state B has 52 electoral votes

x - 17 = A
52 - 17 = A
35 = A.....so state A has 35 electoral votes



The number number of electoral votes in state A = 35

What is an equation?

"It is a statement which consists of an equal symbol between two mathematical expressions."

For given example,

Let x represent the number of electoral votes in state B.

State A has 17 fewer electoral votes then state B.

the number of electoral votes in state A = 17 - x

the total number of electoral votes for these two states is 87.

⇒ (x - 17) + x = 87

We get an equation, (x - 17) + x = 87

We need to solve this equation to find the value of 'x'

⇒ (x - 17) + x = 87

⇒ 2x - 17 = 87

⇒ 2x = 104

x = 52

This means, the number of electoral votes in state B = 52

And the number of electoral votes in state B would be,

= x - 17

= 52 - 17

= 35

Therefore, the number number of electoral votes in state A = 35

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