StudyGirl101 StudyGirl101
  • 12-12-2018
  • Mathematics
contestada

Two less than three– fourths of a number is ten. What is the number?

A. 10 2/3
B. 13 1/3
C. 15 1/3
D. 16

Respuesta :

calculista
calculista calculista
  • 21-07-2019

Answer:

Option D. 16

Step-by-step explanation:

Let

x ----> the number

we know that

The linear equation that represent this problem is equal to

[tex]\frac{3}{4}x-2=10[/tex]

Solve for x

Multiply by 4 both sides

[tex](4)*\frac{3}{4}x-2*4=10*4[/tex]

[tex]3x-8=40[/tex]

Adds 8 both sides

[tex]3x-8+8=40+8[/tex]

[tex]3x=48[/tex]

Divide by 3 both sides

[tex]3x/3=48/3[/tex]

[tex]x=16[/tex]

therefore

The number is 16

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