Application of Ratios

Front

What is a ratio?

Back

A ratio is a relationship between two numbers indicating how many times the first number contains the second.

Front

How do you calculate the speed of an object?

Back

Speed is calculated by dividing the distance traveled by the time taken (Speed = Distance / Time).

Front

If a train travels 130 km in 2 hours, what is its speed?

Back

The speed is 65 km/h (130 km / 2 hours).

Front

What is the formula to find the ratio of boys to total students in a class?

Back

The ratio of boys to total students is given by b / (b + g), where b is the number of boys and g is the number of girls.

Front

How do you determine if two ratios are equivalent?

Back

Two ratios are equivalent if their cross products are equal (a/b = c/d if and only if a*d = b*c).

Front

What is the scale factor in a ratio?

Back

The scale factor is the number that scales, or multiplies, one quantity to get another in a ratio.

Front

If the ratio of treats for a larger dog to a puppy is 4:3, what does this mean?

Back

It means for every 4 treats the larger dog receives, the puppy receives 3 treats.

Front

How do you find the equivalent ratio of 7:8?

Back

To find an equivalent ratio, multiply both terms by the same non-zero number. For example, multiplying by 5 gives 35:40.

Front

What is the relationship between distance, speed, and time?

Back

The relationship is defined by the formula: Distance = Speed x Time.

Front

If a puppy gets 21 treats and the ratio of treats is 4:3, how many treats does the larger dog get?

Back

The larger dog gets 28 treats (4/3 of 21 treats).