11 The entrance fee at Kruger National Park is R40 per child and R70 per adult. Thabo is organising a trip to Kruger National Park for a group of people which will cost R3 360. He collected R840 from all adults in the group. \( 11.1 \quad \) How many children are there in the group? \( 11.2 \quad \) What is total number of people in the group?
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To solve this problem, let's break it down step by step. ### 11.1: How many children are there in the group? First, we know that Thabo collected R840 from all adults. Since the entrance fee for adults is R70, we can determine the number of adults: Number of adults = Total amount collected from adults / Entrance fee per adult Number of adults = R840 / R70 = 12 adults Next, let's find out how much is left for the children. The total cost for the trip is R3,360, so the amount contributed by the children can be calculated as follows: Amount collected from children = Total cost - Amount collected from adults Amount collected from children = R3,360 - R840 = R2,520 Now, since the entrance fee for children is R40, we can find out the number of children: Number of children = Amount collected from children / Entrance fee per child Number of children = R2,520 / R40 = 63 children So, there are **63 children** in the group. ### 11.2: What is the total number of people in the group? The total number of people in the group can be found by adding the number of adults and the number of children: Total number of people = Number of adults + Number of children Total number of people = 12 + 63 = 75 people Thus, the **total number of people in the group is 75**.