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Simplify the following ratios: 1) 14 boys to 21 girls, 2a) 80 standing to 128 seated, 2b) 128 seated to total audience (80+128)
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1. Ratio of boys to girls
Step 1: Identify the number of boys and girls.
Number of girls = 21
Number of boys = 14
Step 2: Write the ratio of boys to girls.
The ratio of boys to girls is .
Step 3: Simplify the ratio by finding the greatest common divisor (GCD) of 14 and 21, which is 7. Divide both parts of the ratio by 7.
The ratio of boys to girls is .
2. Theatre audience ratios
Part a· 3 steps
Ratio of standing audience to seated audience
Identify the number of standing and seated audience members.
Standing audience = 80
Seated audience = 128Write the ratio of standing audience to seated audience.
The ratio of standing to seated audience is $80 : 128$.
Simplify the ratio by finding the GCD of 80 and 128, which is 16.
Divide both parts of the ratio by 16.
The ratio of standing audience to seated audience is .
Part b
Ratio of seated audience to total number of audience
Calculate the total number of audience members.
Total audience = Standing audience + Seated audience
Total audience =Write the ratio of seated audience to total audience.
The ratio of seated audience to total audience is $128 : 208$.
Simplify the ratio by finding the GCD of 128 and 208, which is 16.
Divide both parts of the ratio by 16.
The ratio of seated audience to total audience is .
3. Ratio of fine days to wet days in June
Determine the total number of days in June and the number of wet days.
Number of days in June = 30
Number of wet days = 12Calculate the number of fine days.
Number of fine days = Total days - Wet days
Number of fine days =Write the ratio of fine days to wet days.
The ratio of fine days to wet days is $18 : 12$.
Simplify the ratio by finding the GCD of 18 and 12, which is 6.
Divide both parts of the ratio by 6.
The ratio of fine days to wet days is .
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