Meha is helping her aunt to plan a birthday party for her cousin at the science center. Her aunt tells her that the party will cost $150, plus $10.50 per child and $5.50 per adult. There needs to be at least one adult and at least one child at the party. She has budgeted $300 for the party and that is the maximum amount she wants to spend
Is it possible for the party to include 10 children and five adults?
To determine if it is possible to include 10 children and 5 adults within the budget, we need to calculate the total cost for this scenario.
The cost per child is $10.50, and there are 10 children, so the cost for the children would be 10 * $10.50 = $<<10*10.5=105>>105.
The cost per adult is $5.50, and there are 5 adults, so the cost for the adults would be 5 * $5.50 = $<<5*5.5=27.5>>27.5.
Adding the cost for the children, adults, and the initial cost of $150, the total cost would be $105 + $27.5 + $150 = $<<105+27.5+150=282.5>>282.5.
The total cost of $282.5 is within the budget of $300, so it is possible to include 10 children and 5 adults while staying within the budget.