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?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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