Math Drills
Equal Ratios and Their Uses
C-3Word Problems
What this worksheet covers
Grade 6 (Elementary School) / Ratio and Its Uses / Equal Ratios and Their Uses
Ratios are put to work moving actual amounts. Four shapes carry the lesson: calculation splitting a whole by a fixed ratio to give two amounts, fill-in-the-blank items completing a box so that the ratios are equal, word problems finding one amount from the ratio and the other, and word problems splitting a whole and answering each part.
In equal ratios the front figure and the back figure move by the same multiplier. Finding first how many times one side has grown and applying that multiplier to the other is the procedure. An answer that filled the box by simply adding the difference between the left and right figures disagrees with that multiplier.
What gets compared turns from quantities to figures in Enlargement and Reduction, which follows. In scenes weighing the side lengths of two drawings against each other, the view of ratio matched here goes straight to work.
- Using Equal Ratios (Word Problems)3 questions
- Sharing Using a Ratio (Word Problems)3 questions
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Problems and answers on this worksheet
These are the problems in “Ratio and Its Uses”, shown with their answers.
(1)The ratio of the number of pencils to crayons is 6:5, and there are 18 pencils. How many crayons are there? Answer □
Answer: 15crayons
(2)The ratio of the number of black pencils to red pencils is 3:4, and there are 15 black pencils. How many red pencils are there? Answer □
Answer: 20pencils
(3)In a park, the ratio of the number of adults to children is 1:4, and there are 12 adults. How many children are there? Answer □
Answer: 48children
(4)Divide 1080 dollars of yard sale earnings in the ratio 5:4. How many dollars is each part? Answer □and□
Answer: 600dollars, 480dollars
(5)Divide 2700 dollars of animal shelter donations in the ratio 4:5. How many dollars is each part? Answer □and□
Answer: 1200dollars, 1500dollars
(6)Divide 240cm of ribbon in the ratio 5:7. How many cm long is each piece? Answer □and□
Answer: 100cm, 140cm
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