Algebra 1, word problems help please

Question

1. Madison is making a vinaigrette for her catering service using olive oil that costs 50 cents per ounce and apple cider vinegar that costs 35 cents an ounce.The ideal batch of vinaigrette has 25% vinegar.If she has already combined 3 cups of vinegar and 1 cup of oil,how many cups of oil should she add? What is the total cost of her completed recipe?

2. The projected cost of a new high school is $20,066,340, of which $5,216,340 will be covered by available grants. Using data from the last census, the planning committee estimated the cost per town resident. However, new census data reveals that the population has increased by 2,200 people, reducing the cost per town resident by $75. What is the current population of the town?

Answer 1

 

 

1.      The vinaigrette has 3 cups of vinegar, that is  25% of the recipe. 75% of the recipe would be 9 cups of oil. Madison already combined 1 cup with vinegar. Then she should add 8 more cups.

  

         Convert cups to ounces. 1 cup is equivalent to 8 ounces. Then the vinaigrette recipe has (3 x 8 = 24) oz vinegar and (9 x 8 = 72) oz olive oil.

 

 

24 x $0.35 = $8.40

 

72 x $0.50 = $36.00

 

Find the total cost. $8.40 + $36 = $44.40