\( 1: 329 \) \( 329: 1 \) \( 23: 7567 \) A summer camp has a boy-to-girl ratio of \( 8: 11 \). If the camp has 88 boys, what is the total number of children in the camp?
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To find the total number of children in the camp, we start by determining the count of girls using the boy-to-girl ratio of \( 8: 11 \). For every 8 boys, there are 11 girls. If there are 88 boys, we can set up a proportion: \[ \frac{8}{11} = \frac{88}{g} \] Cross-multiplying gives us: \[ 8g = 88 \cdot 11 \] Calculating \( 88 \cdot 11 = 968 \) leads to: \[ 8g = 968 \quad \Rightarrow \quad g = \frac{968}{8} = 121 \] Now adding the boys and girls together gives the total number of children: \[ 88 + 121 = 209 \] So, the total number of children in the camp is \( 209 \).