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    Question

    At a birthday party, 160 children

    attended. They were divided into boys and girls. A total of 1240 candies were distributed. If each boy received 7 candies and each girl received 12 candies, how many girls were present at the party?
    A 20 Correct Answer Incorrect Answer
    B 24 Correct Answer Incorrect Answer
    C 30 Correct Answer Incorrect Answer
    D None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let 'm' be the number of boys and 'f' be the number of girls. Given: m + f = 160 (total childrens). 7m + 12f = 1240 (Candies distributed). From m + f = 160, solve for m: m = 160 − f. Substitute m = 160 − f into 7m + 12f = 1240: 7(160 − f) + 12f = 1240. Simplifying gives: 1120 − 7f + 12f = 1240 ⇒ 5f = 120 ⇒ f = 24. Thus, there are 24 girls and 136 boys.

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