1 Enter the ratio as a fraction in lowest terms 110 minutes

1. Enter the ratio as a fraction in lowest terms: 110 minutes to 100 minutes

2. Enter the ratio as a fraction in lowest terms (no decimals): 3.9 minutes to 2.4 minutes

3. Find the unit price. If necessary, round your answer to the nearest cent. You would enter an answer like $0.49/pound, the value (like 0.49) in the first box and the appropriate unit (like pound) in the second box.

8 liters for $7.29

4. Suppose you work for a large coffee distributor that has a secret coffee blend it sells to local stores. You mix the Kenya blend with the Breakfast blend, but always in the same proportion. Yesterday, you mixed 70 pounds of the Kenya blend with 28 pounds of the Breakfast blend. Today, there is 60 pounds of the Kenya coffee left in stock. How many pounds of the Breakfast coffee should you mix with it to get your secret blend?

5. Apollo Spas services 273 hot tubs. If each hot tub needs 175 mL of muriatic acid, how many liters of acid are needed for all of the hot tubs?

6. Jean\'s bedroom is 12 feet by 13 feet. She has chosen a carpet which costs $30.95 per square yard. This includes installation.

7. Tracey paid $130 for an item that was originally priced at $270. What percent of the original price did Tracey pay?

8. Joyce paid $65.00 for an item at the store that was 35 percent off the original price. What was the original price?

9. Write the ratio as a ratio of whole numbers in lowest terms: $1.00 to $0.40

10. If Emma walks 4 miles in 60 minutes, then Emma will walk how far in 110 minutes if she walks at the same speed the whole time? If necessary, round your answer to the nearest tenth of a mile.

11. 120120 is 4545 percent of what number?

12. Identify as an increase or decrease. Then find the percent of increase or decrease. If necessary, round to the nearest tenth of a percent.

Original: 100

New: 80

13. The FAA now figures the average checked bag to weigh 26 pounds. This is up from a previous figure of 10 pounds. Find the amount of increase and the percent of increase, to the nearest whole percent.

Amount increase:   pounds

Percent of increase: %

14. The FAA now figures the average checked bag to weigh 28 pounds. This is up from a previous figure of 23 pounds. Find the amount of increase and the percent of increase, to the nearest whole percent.

Amount increase:   pounds

Percent of increase: %

15. The U.S. Weather Bureau has a station on Mauna Loa in Hawaii that has measured carbon dioxide levels since 1959. At that time, there were 301 parts per million of carbon dioxide in the atmosphere. In 2005, the figure was 381 parts per million. Find the increase in carbon dioxide levels and the percent of increase, to two decimal places.

Increase carbon dioxide levels:   parts per million

Percent increase:  %

16. Maria invests $4,000 at 3% simple interest for 1 year. How much is in the account at the end of the 1 year period?

Your help will greatly be appreciated!

Solution

1)110 : 100 = 11:10 (dividing by 10)
            =11/10   is the answer
2) 3.9:2.4 = 39:24       (multiplying by 10)

           =13:8          (dividing by 3)
           = 13/8 is the answer
3) 8 liters for $7.29
=> 1 liter for $7.29/8
=> 1 liter for $0.91125
hence unit price is $0.91125

4)as proportion must be same all the time, so
70:28 = 60: x         (where x is the amount of breakfast blend added on 2nd day)
=> 70/28 = 60/x
=> x = 60*28/70
=> x = 24
so I will add 24 pounds of the Breakfast coffee to get secret blend
5) liters of acid are needed for all of the hot tubs = total tubs *acid needed for one tub
                 = (273 * 175ml)/1000
                 = 47.775 liter is the answer
6) total cost = Area * rate
               = (12*13) *30.95
               = $4828.2
7)% payed = (130/270)*100 = 48.1481481481%
8)35% off means she paid 65% of original price
hence $65 = (original price *65/100)
=> original price = $100
9)$1: $0.4 = 1:0.4
           = 10/4
           = 5/2
           =5:2 answer
10)4 miles in 60 minutes
=>4/60 miles in 1 minute
=> 4*110/60 miles in 110minutes
=>110/15 miles = 7.33333333333 miles in 110 minutes
11)120120 = number *4545/100
=> number = 2642.90429043
12) original = 100, new = 80
new- original = 80-100 = -20 hence decrease
% decrease = 20*100/100 = 20%