
 A runner ran 4.9 miles yesterday and 7.7 miles today. What is the ratio of the distance she ran yesterday to the distance she ran today?
 If a company has 10 managementlevel staff and 25 nonmanagement level staff, what is the ratio of managers to the entire staff of the company?
 A house has a 9:2 ratio of windows to doors. If it has four doors, how many windows does it have?
 A restaurant sells a 5 to 3 ratio of red wine to white wine. If it sells 14 more bottles of red wine than white wine in one night, how many bottles does it sell altogether?
 Charles recently tracked his monthly spending and found that he spends 20% of his income on rent and 15% on transportation. If $3,250 goes to neither rent nor transportation, what is his rent each month?
 A company has a 6 to 1 ratio of domestic to foreign sales revenue. It its total revenue last year was $350,000, how much of that was from foreign sales?
 Jason can swim 9 laps in the time it takes his cousin Anton to swim 5 laps. If the two boys swam a combined total of 140 laps in the same time span, how many of those laps did Jason swim?
 An organization has a 5:3:2 ratio of members from, respectively, Massachusetts, Vermont, and New Hampshire. If the organization has a total of 240 members, how many are from Vermont?
 An organization has a 5:3:2 ratio of members from, respectively, Massachusetts, Vermont, and New Hampshire. If 42 of its members are from Vermont, how many members are from either of the other two states?
 An organization has a 5:3:2 ratio of members from, respectively, Massachusetts, Vermont, and New Hampshire. If 60 members are from New Hampshire, how many are from Massachusetts?
 A bookmobile has a 15 to 4 ratio of nonfiction books to fiction books. If it has 900 nonfiction books, how many books does it have altogether?
 A diner has an 8:5 ratio of dinner customers to lunch customers. If it averages 40 lunch customers, what is its average number of customers for both lunch and dinner?
Category: Algebra
Solving Proportions
Have you ever played dominoes? In the standard set of dominoes,
7 out of 28 tiles, or onefourth of the tiles, are doubles.
The ratios \(\frac{7}{28}\) and \(\frac{1}{4}\) are equivalent.
That is \(\frac{7}{28}\) = \(\frac{1}{4}\).
The equation \(\frac{7}{28}\) = \(\frac{1}{4}\) is an example of a proportion.
Continue reading Solving Proportions
Percent of a Number
According to the graph, 20% of parents buy shoes for their children every four to five months. If 2,500 parents were surveyed, how many said that they purchase shoes for their children every four to five months? Continue reading Percent of a Number
Percents and Decimals
Five years after it opened, a theme park became France’s top tourist attraction. The graph shows where the 11.7 million visitors came from. What part of the visitors came from Italy? Continue reading Percents and Decimals
Percents and Fractions
You’ll learn to express percents as fractions and vice versa. Knowing how to express a number in a different form can help you interpret a monthly budget.
You know that a 10 x 10 grid can be used to represent hundredths. Since the word percent means out of one hundred, you can also use a 10 x 10 grid to model percents.
Shade two fifths of the 10 x 10 grid. What percent have you modeled? Continue reading Percents and Fractions
Investigating Exponential Functions
Collect the Data
Step 1 Cut a sheet of notebook paper in half.
Step 2 Stack the two halves, one on top of the other.
Step 3 Make a table like the one below and record
the number of sheets of paper you have in the stack after one cut.
Step 4 Cut the two stacked sheets in half, placing the resulting pieces in a single stack. Record the number of sheets of paper in the new stack after 2 cuts.
Step 5 Continue cutting the stack in half, each time putting the resulting piles in a single stack and recording the number of sheets in the stack. Stop when the resulting stack is too thick to cut. Continue reading Investigating Exponential Functions