a Jay received a 10 salary increase His new salary is 1375 p

a. Jay received a 10% salary increase. His new salary is $1,375 per month. What was his original salary? b. Dominic plays goalie on the local Florence traveling team. The length of the field they play on is 50 yards shorter than three times the width. The perimeter of the field is 380 yards. What are the dimensions of the field? c. Anthony received a $12,000 bonus. He invested part in a mutual fund that pays 4.5% and the rest in a CD that pays 3.5%. At the end of the year, he had made $505 in interest. How much did he invest in each account? d. Susana has a crab dip recipe that calls for 65% horseradish. At the store, she finds a horseradish sauce that is 35% horseradish and another that is 80% horseradish. How many teaspoons of 35% horseradish must be mixed with a 4 teaspoons of 80% horseradish to make a mixture that is 65% horseradish?

Solution

a. Jay received a 10% salary increase. His new salary is $1,375 per month. What was his original salary?

Let his original salary be $x:

10% increase = 110% of x = 1.1x

1.1x = 1375 ---> x = 1375/1.1 = $1250 original salary

b. Dominic plays goalie on the local Florence traveling team. The length of the field they play on is 50 yards shorter than three times the width. The perimeter of the field is 380 yards. What are the dimensions of the field?

let lenght be l and width be w:

l = 3w -50

perimeter 2*l +2*w = 380

substitute l in 2nd equation:

2(3w-50) +2w = 380

6w -100 +2w = 380

8w = 480----> w = 480/8 = 60

width = 60 yards ; length =3*60 -50 = 130 yards