Writing and solving proportions - Word problems

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

How do you set up a proportion from a word problem?

Back

Identify the two quantities that are being compared and set them as a ratio, then create an equation using the equal sign.

Front

What is the scale of a map?

Back

The scale of a map is the ratio of a distance on the map to the actual distance it represents.

Front

If a map has a scale of 1 cm : 10 km, how would you find the actual distance if two points are 5 cm apart on the map?

Back

Multiply the distance on the map (5 cm) by the scale factor (10 km), resulting in an actual distance of 50 km.

Front

How do you convert a ratio to a fraction?

Back

To convert a ratio to a fraction, write the first quantity as the numerator and the second quantity as the denominator.

Front

What is the formula for finding the height of an object using similar triangles?

Back

Height of object = (Height of shadow) * (Length of shadow of object) / (Length of shadow of known height object).

Front

If a statue casts a shadow that is twice as long as the shadow of a person, how do you find the height of the statue if the person is 6 ft tall?

Back

If the statue's shadow is twice as long, the statue is also twice as tall, so the statue would be 12 ft tall.

Front

What is the relationship between the lengths of shadows and the heights of objects?

Back

The lengths of shadows and the heights of objects are proportional to each other when the light source is the same.

Front

How do you solve a word problem involving currency exchange?

Back

Identify the exchange rate, multiply the amount of currency by the exchange rate, and convert to the desired currency.

Front

If 2 Dinars can be exchanged for $3, how much is 8 Dinars worth?

Back

8 Dinars is worth $12 (8 Dinars * (3/2 Dinars)).