The number of adults to the number of boys to the number of girlsin a cinema is 3 :4 :6.There are 54 adults present.How many more girls than boys are there?
Question
The number of adults to the number of boys to the number of girls in a cinema is 3 : 4 : 6. There are 54 adults present. How many more girls than boys are there?
Solution
First, let's understand the ratio given. The ratio of adults to boys to girls is 3:4:6. This means that for every 3 adults, there are 4 boys and 6 girls.
We know that there are 54 adults present. To find out how many boys and girls there are, we need to find out what one part of the ratio represents. We do this by dividing the number of adults by the adult part of the ratio. So, 54 adults ÷ 3 = 18. This means that one part of the ratio represents 18 people.
To find out how many boys there are, we multiply the boy part of the ratio by what one part represents. So, 4 (boys) x 18 = 72 boys.
To find out how many girls there are, we multiply the girl part of the ratio by what one part represents. So, 6 (girls) x 18 = 108 girls.
Finally, to find out how many more girls than boys there are, we subtract the number of boys from the number of girls. So, 108 girls - 72 boys = 36 more girls than boys.
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