3.06 Proportional reasoning with percents
Translate the following percent statements to a proportion without solving or simplifying the proportion:
46 is 50\% of 92.
40\% of 60 is 24.
21 out of 84 is 25\%.
56 out of 80 is 70\%.
75\% of 120 is 90.
20\% of 225 is 45.
567 out of 630 is 90\%.
3816 out of 4770 is 80\%.
Translate the following percent statements to a proportion without solving or simplifying the proportion:
60\% of x is 144.
x\% of 92 is 23.
40\% of 20 is x.
50\% of x is 57.
x\% of 770 is 231.
95\% of 160 is x.
x\% of 180 is 63.
45\% of 920 is x.
Solve for x:
50\% of x is 140.
14 is 50\% of x.
28 out of x is 35\%.
x\% of 400 is 64.
15\% of x is 70.
120 is 6\% of x.
18 out of x is 50\%.
x\% of 440 is 198.
Answer the following questions in order to find 45\% of 5 hours without a calculator:
How many minutes are there in 5 hours?
Find 10\% of 300 minutes.
Find 5\% of 300 minutes.
Now, find 45\% of 300 minutes.
A salesperson earns a 13\% commission on their total sales each week. In one week, their sales amounted to \$640.
Find 10\% of their total sales.
Find 3\% of their total sales, correct to two decimal places.
Now, find the total commission they made that week, correct to two decimal places.
A telephone marketer earns a 13\% commission on their total sales each week. In one week, their sales amounted to \$970.
Find 10\% of their total sales.
Find 3\% of their total sales, correct to two decimal places.
Now, find the total commission they made this week, correct to two decimal places.
On Monday, Derek had a full tank of 40\text{ L} gas. During the week, Derek used 55\% of the gas.
Find 10\% of 40 \text{ L}.
Find 5\% of 40 \text{ L}.
Now, find how many liters of gas was used during the week.
Valentina has completed 25\% of the necessary 70 hours of pilot training.
Find 25\% of 70 hours, correct to one decimal place.
Find 2.5\% of 70 hours, correct to two decimal places.
Quentin has completed 27.5\% hours of the necessary training. Find how many hours he has completed, correct to two decimal places.
Inflation between the years 2009 and 2010 was 1.7\%, such that a purchase made in 2009 for \$100 would be worth \$101.70 in 2010. A product was valued at \$3200 in 2009.
Find 1\% of the product's value.
Find 7\% of the product's value.
Find 0.7\% of \$3200.
What is 1.7\% worth?
Find the value of the product in 2010.
Liam works 0.8 days for every day of the five day work week.
What percentage of the work week does Liam work?
What percentage of the five day week does Liam not work?
What percentage of the whole 7 day week does he work? Express your answer as a percentage correct to one decimal place.