8 x − am o u n t o f b oys 7 x − am o u n t o f g i r l s 8 x + 7 x = 195 15 x = 195 ∣ D i v i d e b y 15 x = 13 8 x = 8 ∗ 13 = 104 7 x = 7 ∗ 13 = 91 There are 104 boys and 91 girls.
There are 104 boys and 91 girls at the camp. This is determined by solving the ratio of boys to girls which is 8:7, totaling 195 children. By defining a common variable and solving the equation, we arrive at the final counts for both boys and girls.
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