Review Unit 8 - Weighted Averages

A solution with 14% HIM is mixed with a solution that has 44% HIM. How much of each solution must be used to create a solution of 72 mL with 25% HIM? Enter the answer as an ordered pair: (x,y)

(a)  

Justin is now 3 times as old as Arthur. In 10 years, Justin will be twice as old as Arthur will be then. How old is Justin now?

(a)  

Selma is now 3 times as old as Joyce. Four years ago, Selma was 4 times as old was Joyce was then. How old is Selma now?

(a)  

Mrs. Sanford is three times as old as Mrs. Fox. Eight years from now, Mrs. Sanford’s age will exceed twice Mrs. Fox’s age at that time by 14 years. How old is Mrs. Fox now?

(a)  

Father is twice as old as his son. 20 years back, father was twelve times as old as his son. What is the present age of father?

(a)  

Two trains leave at the same time in opposite directions. The CheeChee Train is traveling at 200 feet/second while the ChewChew Train is traveling at 350 feet/second. How many seconds will elapse before the trains are 165000 feet apart?

(a)  

A total of $16,000 was invested at annual interest rates of 4% and 7%. If the return was $940, how much was invested in the 4% account?

(a)  

A total of $16,000 was invested at annual interest rates of 4% and 7%. If the return was $940, how much was invested in the 7% account?

(a)  

A total of $9,000 was invested at annual interest rates of 3% and 4%. If the return was $350, how much was invested in the 3% account?

(a)  

A total of $9,000 was invested at annual interest rates of 3% and 4%. If the return was $350, how much was invested in the 4% account?

(a)  

Mr. Geering takes his jetpack for a spin at a speed of 120 mph. 3 hours later, Ms. Morreale puts her Josh Allen jetpack on and cruises at 170 mph. How long before Ms. Morreale catches up to Mr. Geering? Enter just the number.

(a)  

An almond mixture is being made with a wasabi flavor priced at $3.25/lb and a soy sauce flavor at $4.75/lb. How many pounds of each flavor will it take get a 12 pound mixture priced at $3.75/lb? Enter your answer as an ordered pair: (x,y)

(a)  

Professor Plum invested a sum of money into an account with a 7% return and a second sum that was $1200 less than the first with a 4% return. The annual return is $865 from both investments. How much was invested in the 4% account?

(a)  

Geraldine invested a sum of money into an account with a 5% return and a second sum that was $700 more than the first with a 9% return. The annual return is $532 from both investments. How much was invested in the 5% account?

(a)  

Pongo invested a sum of money at 6% and three times as much in an account that returns 4%. The total annual return was $657. How much was invested in each rate? Enter your answer as an ordered pair: (x,y)

(a)  

Ironman flew from his house to Stark Tower and back. He took 4 hours longer to get back due to... traffic. The average speed there was 120 mph and on the way back was 72 mph. How many hours did the trip there take?

(a)  

Antman ran across a football field and back. He took 2 hours less to get back because he really hustled his bustle. The average speed there was 12 mph and on the way back was 20 mph. How many hours did the trip there take?

(a)  

A hot sauce has 26% capsaicin and there is 16 oz. bottle of hot sauce with 54% capsaicin. That's too spicy. We need to tone it down to about 34%. How many ounces of the 26% hot sauce needs to be added to the 16 oz. bottle to create a sauce with 34% capsaicin?

(a)  

Amanda is 23 years old and Ginny is 15 years old. How many years ago was Amanda three times as old as Ginny was then?

(a)