- A 30
- B 35
- C 20
- D 15
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Explanation:
Let's say that the number of boys is b and the number of girls is g. We know that the total number of boys and girls is 50, so we can write the equation:
b + g = 50
We also know that the total number of oranges that the boys receive is 5b, and the total number of oranges that the girls receive is 7g. The total number of oranges that are distributed is 280, so we can write the equation:
5b + 7g = 280
We can solve this system of equations using substitution. First, we can solve for b in the first equation by rearranging it as follows:
b = 50 - g
Substituting this expression for b into the second equation, we get:
5(50 - g) + 7g = 280
Expanding and simplifying the left side of the equation, we get:
250 - 5g + 7g = 280
Combining like terms, we get:
2g = 30
Dividing both sides by 2, we get:
g = 15
Therefore, there are 15 girls in the group of 50 people.