6. Review Exercises

Answers to the odd-numbered questions are available at the end of the book.

For problems 1 and 2, calculate the missing values (indicated with a question mark) in the tables below.

1. Question	Percents	Decimals	Fractions (or mixed numbers) in lowest terms
   a.	80%	?	?
   b.	?	0.25	?
   c.	?	?	[latex]\displaystyle{1\frac{1}{2}}[/latex]
   d.	[latex]\displaystyle{6\frac{1}{3}\%}[/latex]	?	?
   e.	?	0.048	?
   f.	?	?	[latex]\displaystyle{\frac{2}{25}}[/latex]

2. Question	Percents	Decimals	Fractions (or mixed numbers) in lowest terms
   a.	2%	?	?
   b.	?	0.245	?
   c.	?	?	[latex]\displaystyle{\frac{5}{12}}[/latex]
   d.	[latex]\displaystyle{12\frac{2}{5}\%}[/latex]	?	?
   e.	?	1.075	?
   f.	?	?	[latex]\displaystyle{\frac{3}{80}}[/latex]

For the following problems, express the answers rounded to two decimal places, wherever applicable.

For problems 3 and 4, calculate the value.

3. a. 125% of what number is 45?
   b. What percent of $180 is $36?
   c. How much is [latex]\displaystyle{\frac{3}{8}\%}[/latex] of $60?
4. a. 225% of what number is 180?
   b. What percent of $750 is $300?
   c. How much is [latex]\displaystyle{\frac{2}{5}\%}[/latex] of $30?
5. Paul sold a property for $575,000, which was 125% of the purchase price. Calculate the purchase price.
6. Peter sold his shares for $14,437.50. Calculate the amount he paid for the shares if his selling price was 275% of the amount he paid for the shares.
7. Lian scored 45 out of 60 on a math test. What was his percent grade on the test?
8. There were 48 questions in a test. Ann answered 40 questions correctly. What percent of the questions did she answer correctly?
9. The total expenditure for the construction of a highway was $1,280,000. If this is 111% of the budgeted amount, calculate the amount budgeted to build the highway.
10. If Henry’s business expenditures were $14,480 in March and $14,806.50 in April, which were 112% and 122% of his budgeted expenditure for March and April respectively, calculate his total budgeted expenditure for the two months.
11. Assume that out of the 350,000 people who immigrated to Canada in 2016, 12.25% were from China, 9.75% were from the Philippines, and the rest were from other countries.
    1. Calculate the number of people who immigrated to Canada from China.
    2. If the combined number of immigrants from China and the Philippines constituted 0.2% of the population of Canada, calculate the population of Canada in 2016. (Round the answer up to the next whole number.)
12. Dinner at a restaurant cost you $27.80 and you tipped the waiter 15% of the cost.
    1. What was the value of the tip?
    2. If the tip you gave the waiter was 2% of all the money he made from tips that night, calculate the amount that the waiter earned from tips that night.