in a class there is 6 more girls than boys.The ratio of boys to the girls is 2:5 . Then find total strength of class.
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Answer :
14
Step-by-step explanation
Given,
Ratio = 2 : 5
Consider, 2x and 5x
Girls = 5x
Boys = 2x
In the order to find the strength, it is essential to find the number of girls and boys.
In order to find; the fractions are to be made equal.
Setting up an equation,
Boys + 6 = Girls
2x + 6 = 5x
Solving,
2x + 6 = 5x
5x - 2x = 6
3x = 6
x = 2
Finding out,
Boys = 2x = 2 × 2 = 4 boys
Girls = 5x = 5 × 2 = 10 girls
Total strength = boys + girls
= 4 + 10
= 14
Hence, there are 14 students in the class
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