To solve the problems regarding the youth club's field trip to the community farm:
Part a
We want to determine the cost per person for the 27 members who attended the trip.
Let \( x \) be the cost per person. The total cost for the club can be expressed as: \[ 27x = 148.50 \]
To find \( x \), we will divide both sides of the equation by 27: \[ x = \frac{148.50}{27} \] Calculating the right side: \[ x = 5.50 \]
So, the cost for each person is $5.50.
Part b
The total income for the farm was $1512.50, which included the money received from the youth club. To find the number of people who visited the farm that day, we need to account for the contribution from the youth club and find out how much money was received from other visitors.
The income from the youth club was $148.50. Therefore, the amount received from other visitors can be calculated as: \[ 1512.50 - 148.50 = 1364.00 \]
Let \( y \) be the cost per person for other visitors. Assuming the cost for other visitors is the same as for the youth club members ($5.50), we can express the revenue from other visitors as: \[ 5.50y = 1364.00 \]
Now, solving for \( y \): \[ y = \frac{1364.00}{5.50} \]
Calculating the right side: \[ y \approx 248 \]
This means approximately 248 other visitors attended the farm that day.
Total Visitors
To find the total number of visitors at the farm that day, we add the 27 members from the youth club to the 248 other visitors: \[ \text{Total visitors} = 27 + 248 = 275 \]
Thus, the number of people that visited the community farm that day is 275.
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