A picture of a goldfish has a scale of 8 centimeters to 3 centimeters. If the actual goldfish is 12 centimeters long,how long is the drawing?
To find out how long the drawing of the goldfish is, we can use ratios.
The ratio of the scale on the picture is 8 cm to 3 cm.
Let's set up the ratio equation:
(actual length of the goldfish) / (drawing length of the goldfish) = (scale on the picture)
12 cm / (drawing length of the goldfish) = 8 cm / 3 cm
To solve for the drawing length of the goldfish, we can cross-multiply and divide:
3 * 12 cm = 8 * (drawing length of the goldfish)
36 cm = 8 * (drawing length of the goldfish)
Divide both sides by 8:
36 cm / 8 = (drawing length of the goldfish)
The drawing length of the goldfish is approximately 4.5 centimeters.
To find out how long the drawing of the goldfish is, we can use proportions.
Let's set up a proportion using the given information:
8 centimeters (drawing) / 3 centimeters (actual) = x (drawing length) / 12 centimeters (actual length)
To solve for x, we can cross multiply and then solve for x:
8 centimeters * 12 centimeters = 3 centimeters * x
96 centimeters = 3 centimeters * x
Divide both sides of the equation by 3 centimeters to isolate x:
x = 96 centimeters / 3 centimeters
x = 32 centimeters
Therefore, the length of the drawing of the goldfish is 32 centimeters.
8/3 = x/12
Solve for x.