In mathematics, ratios compare two numbers or quantities with the same units. We can also say that a ratio expresses one quantity as a fraction of the others.
A multi-step ratio problems worksheet has many such problems related to ratios.
However, on the other side, the rate is a unique ratio having quantities in two different units. Also, the unit rate is the ratio in which the denominator quantity is one.
The ratio of two numbers or quantities with the same units is expressed as q1:q2.
And the rate is expressed as 300 Km/20 hour; if it is written as 60 Km/ hour, it becomes a unit rate.
Example of a multi-step ratio problem:
A special rug is woven using 150 metres of yarn with three different colours in the given ratio. Calculate the length of blue yarn used.
10 parts Yellow yarn
7 parts Red yarn
3 parts Blue yarn
10+7+3 = 20; so, the ratio is 20 parts.
Part of the blue to the whole ratio is = 3:20
By using the concept of equivalent ratio:
3*7.5:20*7.5 = 22.5:150
This means 22.5 metres of blue yarn is used.
Solving these multistep ratio problems and unit rate worksheets will enhance students’ knowledge of using various ratio concepts in one problem.
Also, these worksheets will teach them the importance of ratios in real-world problems.
One can get these multi-step ratio word problems worksheets for their students by downloading the PDFs. You can also try our Solve Multi-Step Problems Using Unit Rate (Word Problems) Problems and Solve Multi-Step Problems Using Unit Rate (Word Problems) Quiz as well for a better understanding of the concepts.
The ratio of two numbers or quantities with the same units is expressed as q1:q2.
And the rate is expressed as 300 Km/20 hour; if it is written as 60 Km/ hour, it becomes a unit rate.
Example of a multi-step ratio problem:
A special rug is woven using 150 metres of yarn with three different colours in the given ratio. Calculate the length of blue yarn used.
10 parts Yellow yarn
7 parts Red yarn
3 parts Blue yarn
10+7+3 = 20; so, the ratio is 20 parts.
Part of the blue to the whole ratio is = 3:20
By using the concept of equivalent ratio:
3*7.5:20*7.5 = 22.5:150
This means 22.5 metres of blue yarn is used.
