Math Drills
Equal Ratios and Their Uses
C-2Word 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)The ratio of the number of peaches to pears is 5:7, and there are 20 peaches. How many pears are there? Answer □
Answer: 28pears
(2)The ratio of the number of red balls to blue balls is 5:8, and there are 15 red balls. How many blue balls are there? Answer □
Answer: 24balls
(3)The ratio of the number of cows to chickens is 2:9, and there are 8 cows. How many chickens are there? Answer □
Answer: 36chickens
(4)Divide 56 candies in the ratio 3:4. How many are in each part? Answer □and□
Answer: 24candies, 32candies
(5)Divide 750mL of juice in the ratio 2:3. How many mL is each part? Answer □and□
Answer: 300mL, 450mL
(6)Divide 180mL of water in the ratio 4:5. How many mL is each part? Answer □and□
Answer: 80mL, 100mL
What to do next
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