Here are the step-by-step solutions for each problem on the worksheet.
1 a.
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Identify the numbers: There are 11 males and 25 total members.
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Set up the ratio: The question asks for the ratio of males to all club members. This is written as 11 to 25, or $11:25$.
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Simplify: Check if 11 and 25 share any common factors. 11 is a prime number and does not go into 25 evenly. So, the ratio is already in its simplest form.
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Result: $11:25$
2 a.
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Identify the numbers: There are 8 boys and 24 girls.
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Find the total: To find "all children," add the boys and girls together: $8 + 24 = 32$.
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Set up the ratio: The question asks for the ratio of girls to all children. This is 24 to 32, or $24:32$.
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Simplify: Both numbers can be divided by 8.
* $24 \div 8 = 3$
* $32 \div 8 = 4$
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Result: $3:4$
3 a.
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Identify the numbers: There are 15 boys and 12 girls.
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Set up the ratio: The question asks for the ratio of girls to boys. Be careful with the order! It is 12 to 15, or $12:15$.
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Simplify: Both numbers can be divided by 3.
* $12 \div 3 = 4$
* $15 \div 3 = 5$
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Result: $4:5$
4 a.
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Identify the numbers: There are 4 blue triangles and 12 yellow triangles.
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Find the total: Add them together to get all triangles: $4 + 12 = 16$.
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Set up the ratio: The question asks for the ratio of blue triangles to all triangles. This is 4 to 16, or $4:16$.
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Simplify: Both numbers can be divided by 4.
* $4 \div 4 = 1$
* $16 \div 4 = 4$
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Result: $1:4$
5 a.
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Identify the numbers: There are 21 total members and 13 males.
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Find the missing number: We need the number of females. Subtract the males from the total: $21 - 13 = 8$ females.
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Set up the ratio: The question asks for the ratio of females to all club members. This is 8 to 21, or $8:21$.
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Simplify: 8 and 21 do not share any common factors (other than 1).
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Result: $8:21$
6 a.
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Identify the numbers: Dylan drew 26 circles and 1 heart. (The star is extra information we don't need for this specific question).
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Set up the ratio: The question asks for the ratio of circles to hearts. This is 26 to 1, or $26:1$.
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Simplify: This cannot be simplified further.
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Result: $26:1$
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Final Answer:
1 a. 11:25
2 a. 3:4
3 a. 4:5
4 a. 1:4
5 a. 8:21
6 a. 26:1
Parent Tip: Review the logic above to help your child master the concept of 6th grade math word problems worksheet with answers.
