plz help i beg u i will give brainliest

Chad measured a neighborhood park and made a scale drawing. He used the scale 12 inches : 5 yards. If the actual length of a soccer field in the park is 95 yards, how long is the field in the drawing?
plz help

Respuesta :

Answer:

228 inches

Step-by-step explanation:

The scale is 12 inches : 5 yards, that means

Real Life 5 yards is 12 inches in drawing.

This is a ratio

We can write:

[tex]\frac{5 \ yd}{12 \ In}[/tex]

Now we can create another ratio where drawing length is "x" and real length is 95 yards.

Note: remember to keep yards on numerator and inches on bottom

So, we can write:

[tex]\frac{95 \ yd}{x \ In}[/tex]

We can equate these 2 ratios and cross multiply and solve for x:

[tex]\frac{5 \ yd}{12 \ In}=\frac{95 \ yd}{x \ In}\\5x=12*95\\5x=1140\\x=228[/tex]

Hence 95 yards would be equal to 228 inches in the drawing