Math Drills
Equal Ratios and Their Uses
C-1Word Problems
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What this worksheet covers
- Topic
- Ratio and Its Uses
- Worksheet
- 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.
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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
Questions & answers
Problems and answers on this worksheet
These are the problems in “Ratio and Its Uses”, shown with their answers.
(1)In the tennis club, the ratio of the number of boys to girls is 9:7, and there are 27 boys. How many girls are there? Answer □
Answer: 21girls
(2)In a class, the ratio of the number of boys to girls is 3:5, and there are 18 boys. How many girls are there? Answer □
Answer: 30girls
(3)The ratio of the number of oranges to apples is 3:2, and there are 24 oranges. How many apples are there? Answer □
Answer: 16apples
(4)Divide 90cm of ribbon in the ratio 2:7. How many cm long is each piece? Answer □and□
Answer: 20cm, 70cm
(5)Divide 36 pieces of gum in the ratio 4:5. How many are in each part? Answer □and□
Answer: 16pieces, 20pieces
(6)Divide 5000 dollars of contest prize money in the ratio 2:3. How many dollars is each part? Answer □and□
Answer: 2000dollars, 3000dollars
What to do next
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