Tram left a tip of $9, which was 3/20 of the total cost of the food. Which shows the correct equation and value of x, the total cost of the food?
x = $1.35
x = $60
x = $1.35
x = $60

Respuesta :

3/20x = 9.......with x being the total cost of the food
x = 9 / (3/20)
x = 9 * 20/3
x = 180/3
x = 60 <===

Answer: the correct equation : [tex]\dfrac{3}{20}x=9[/tex]

The  value of x= $60

Step-by-step explanation:

Let the total cost of the food be x .

Given that , Tram left a tip of $9, which was [tex]\dfrac{3}{20}[/tex] of the total cost of the food.

According to this statement , we have

[tex]\dfrac{3}{20}x=9[/tex]

Multiply 20 on both sides , we get

[tex]\dfrac{3}{20}x\times 20=9\times20[/tex]

[tex]\Rightarrow\ 3x=180[/tex]

Divide both sides by 3 , we get

[tex]x=60[/tex]

i.e.  the total cost of the food = $60

Thus , the correct equation : [tex]\dfrac{3}{20}x=9[/tex]

The value of x= $60, where x is the total cost of the food.