SCALE MODELS AND MAPS WORD PROBLEMS

Solve each problem.

Problem 1 :

A scale model of a whale is being built. The actual length of the whale is 65 ft. The scale of the model is 2 in : 3 ft. What will be the length of the model?

Solution:

Length of model : Length of original

Let the length of model be 'x' inches.

2 : 3 = x : 65

Therefore, the length of the model will be 43.3 inches.

Problem 2 :

The smallest frog known is only 1/2 in. long. A local science museum is planning to build a model of the frog. The scale used will be 3 in : 1/4 in. How long will the model be?

Solution: 

Let x be the length of the model.

Length of model : Length of original

3 : (1/4) = x : (1/2)

Therefore, the model will be 6 inches.

Problem 3 :

Two cities on a map were 2 1/4 in. apart. The cities are actually 56.25 mi apart. What scale was used to draw the map?

Solution:

Problem 4 :

Four ounces of a certain perfume cost $20.96. How much would six ounces of perfume cost?

Solution:

Let 'x' be the six ounces of perfume cost.

Problem 5 :

The human brain weighs about 1 lb for each 100 lb of body weight. What is the approximate weight of the brain of a person weighing 85 lb to the nearest ounce?

Solution:

Problem 6 :

Two towns are 540 km apart. If the scale on the map is 2 cm to 50 km, how far apart are the towns on the map?

Solution:

Problem 7 :

Cans of tuna cost $1.59 for 6 1/2 oz. At that rate, how much would 25 oz of tuna cost?

Solution:

Let 'x' be the 25 of tuna cost.

Problem 8 :

Students are building a model of a volcano. The volcano is about 8000 ft tall. The students want the model to be 18 in. tall. What scale should they use?

Solution:

Problem 9 :

A certain shade of paint requires 3 parts of blue to 2 parts of yellow to 1 part of red. If 18 gal of that shade of paint are needed, how many gal of blue are needed?

Solution: