180 oranges are distributed among 70 boys and girls such that each boy gets tour and each girl gets 3 oranges find the number?
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hi mate ...............
Answered by
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Answer:
Let the number of boys be “x” and no. of girls be “y”.
∴ x + y = 70 …… (i) [according to the given data in the question]
Total no. of oranges distributed = 180
Also,
Each boy gets 2 oranges and each girl gets 3 oranges, so “x” boys will get “2x” oranges and “y” girls will get “3y” oranges in total. Therefore, we can write the equation as,
2x + 3y = 180 …… (ii)
Multiplying 2 throughout the eq. (i) and subtracting from eq. (ii), we get
2x + 3y = 180
2x + 2y = 140
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y = 40
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Now, substituting the value of y in eq. (i)
⇒ x + 40 = 70
⇒ x = 30
Thus, number of boys is 30 and no. of girls is 40,
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