Please tell me if the answers I posted are correct with the questions given. I am terrible at math.
A certain Metropolitan area is building a new Performing Arts Center with two auditoriums to be used as concert venues.
Budget: $89,200,000 for construction costs
$5,300,000 for purchase of the land
What integer would represent the total cost of the project?
94,500,000
Thirty-seven percent of the construction costs will be used for labor. Write an algebraic expression that indicates how much money will be spent on labor. Do not solve.
37%∙89,200,000=x, or .37∙89,200,000=x
How much money will be spent on labor? Show how you arrived at your answer.
33,004,000: 37/( 100)∙x/89,200,000=33,004,000 ,or 0.37∙89,200,000=33,004,000
At the completion of the project, it was determined that the project exceeded the budget by 2%.
How much additional money did the project cost? Show how you arrived at your answer.
96,390,000 2/100∙x/94,500,000=1,890,000 94,500,000+1,890,000 = 96,390,000
What was the final cost of the project? Show how you arrived at your answer.
The final cost was 96,390,000. The above answer tells how I arrived at this solution.
Your question is incomplete. Please try again. You may have to type it all instead of using cut-and-paste.
To check if your answers are correct, let's go through each one step by step:
1. What integer would represent the total cost of the project?
You answered 94,500,000. To calculate the total cost of the project, you need to add the construction costs ($89,200,000) to the land purchase cost ($5,300,000). Therefore, the correct answer is 89,200,000 + 5,300,000 = 94,500,000. Your answer is correct.
2. Thirty-seven percent of the construction costs will be used for labor. Write an algebraic expression that indicates how much money will be spent on labor.
You wrote 37%∙89,200,000 = x, or 0.37∙89,200,000 = x. This expression correctly shows that the labor cost is 37% of the construction cost. Your answer is correct.
3. How much money will be spent on labor? Show how you arrived at your answer.
You calculated 33,004,000. To find the labor cost, you need to multiply the construction cost ($89,200,000) by 37% or 0.37. So, it should be: 0.37 * 89,200,000 = 33,004,000. Your answer is correct.
4. How much additional money did the project cost? Show how you arrived at your answer.
You answered 96,390,000. To calculate the additional money the project cost, you need to find 2% of the total project cost ($94,500,000). Therefore, it should be: 0.02 * 94,500,000 = 1,890,000. To find the final cost, you need to add the additional cost to the total cost: 94,500,000 + 1,890,000 = 96,390,000. Your answer is correct.
5. What was the final cost of the project? Show how you arrived at your answer.
You answered 96,390,000, which is correct. In the previous question, you correctly calculated the additional cost to be 1,890,000. Adding this to the total cost of the project (94,500,000), you get the final cost of the project as 96,390,000. Your answer is correct.
Overall, all your answers are correct. Great job!