QHow many girls are there in a group of 50 people that is divided into boys and girls, with 280 oranges distributed such that each boy receives 5 oranges and each girl receives 7 oranges?
Question Info
Choose the Best Option
Click any option to instantly check if you're correct.
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.
Share This Question
Challenge a friend or share with your study group.