Ratio Problems Given Total Worksheet

Printable “Ratio Problems using Tape Diagrams” worksheets:
Introduction to Ratios
Ratio Problems given One of Quantities
Ratio Problems given Total
Ratio Problems given Difference
Ratio Problems with Change of Ratio

Free printable and online worksheets to help Grade 6 students learn about how to use tape diagrams to solve ratio word problems. Solve ratio word problems when the part-to-part ratio is given and the total is given.

Solve Ratio Word Problems Given the Total

Tape diagrams are a valuable tool for solving ratio problems, especially when dealing with totals.

1. Read the problem carefully. Take note of the given ratio (e.g., 2:3) and the total quantity (e.g., 50 items).
   Identify what you need to find. It’s usually the individual quantities that make up the total based on the given ratio.

2. Draw two rectangles to represent the two parts of the ratio.
   Divide each rectangle into a number of sections that reflects the given ratio.
   For example, if the ratio is 2:3, then divide one rectangle into 2 sections and the other into 3 sections.
   

3. The total length of both rectangles (eg. 2+3=5) must add up to the total quantity given in the problem.
   To find out the amount represented by one section: Divide the given total (eg. 50) by the number of sections (eg. 50 ÷ 5 = 10).

4. We can then find the quantities represented by each rectangle by multiplying by the number of sections (eg. 2x10=20 and 3x10=30).

Have a look at this video if you need to review how to solve ratio problems when given the total.

• Ratio Problems Given Total

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More Ratio Problems Given Total Worksheets

Printable
(Answers on the second page.)
Ratio Problems Given Total Worksheet #1
Ratio Problems Given Total Worksheet #2
Ratio Problems Given Total Worksheet #3

Online
Ratio Word Problems I
Ratio Word Problems II
Ratio Word Problems III
Ratio Word Problems IV

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Solve Ratio Word Problems using Tape Diagrams

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