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Before noon on Tuesday, there was a certain number of hex nuts in a bin. After a delivery at noon that day, the number of hex nuts in the bin increased by 30%. Which of the following could be the number of hex nuts in the bin after that delivery?a. 5100
b. 5200
c. 5400
d. 5500
e. 5600

Respuesta :

Answer:

(B)5200

Step-by-step explanation:

Since the value was increased by 30%, the new value in the options is 130% of the initial Value.

Let x be the number of hex nuts in the bin before that delivery.

130% of x = New Value

[tex]\frac{130}{100} \: of\: x =New \: Value[/tex]

1.3 of x = New Value

x= New Value ÷ 1.3

Since the number of hex nuts in the bin is a whole number, we test the options to see which satisfies this condition.

  • 5100 ÷ 1.3 =3923.08
  • 5200 ÷ 1.3=4000
  • 5400÷ 1.3=4153.85
  • 5500÷ 1.3=4230.77
  • 5600÷ 1.3=4307.69

5200 is the only option which satisfies our stated condition.

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