Rates and Percents EOM

Unit Conversion

100

If there are 100 cm in 1 meter, which unit is larger: the centimeter or the meter?

Meters are larger because it takes fewer of them to make up the same space. 

200

If there are 1.6 km in 1 mi, then how many kilometers are there in 5 miles?

Record the correct quantity and unit to get credit.

1 mi = 1.6 km

5 mi = x km

x = 5 * 1.6

x = 8 km

300

If there are 128 ounces in 1 gallon? 

How many ounces are there in 1/4 gallon?

Record the correct quantity and unit to get credit.

128 ounces / 4 = 32 ounces

Rates

100

Unit rate means the amount per one.

How do you get to a unit rate from an equivalent ratio?

For example: How do I change 20 cups of water to 10 cups of flour to the unit rate 2 cups of water to 1 cup of flour?

HINT: There's different operations you could do

Multiply or divide all parts by the same quantity to get to an equivalent amount per 1.

200

1 inch = 2.54 centimeters

How many centimeters is equivalent to 50 inches?

Record the correct quantity and units to get credit.

2.54 x 50 =

2.54 x 10 x 5

2.54 x 10 = 25.4

25.4 x 5 = 127 centimeters

300

If 75 mL of PRIME is worth $5, what is the unit rate of Prime for $1?

**Set up a proportional equation or ratio table to get to your unit rate**

Record the correct quantity and unit to get credit.

75 mL : $5

x : $1

5 / 5 = 1

so...

75 / 5 = x 

75 / 5 = 15

15 mL of PRIME is $1

400

If a runner finishes 4 laps in 6 minutes, what is the runner's pace per lap? What is their speed per minute?

Show pace as numbers of minutes and seconds.

Show speed as a fraction of one lap

Pace

1 2/4 minutes  = 1 1/2 minutes

1 minute 30 seconds

Speed

4/6 laps = 2/3 laps

Percent of x

100

Percent means the amount for each ____________.

Hundred. 

some number / 100

? / 100

x / 100

200

To find 40% of 140 I can find the benchmark fraction 10% 4 times.

What is 40% of 140?

10% = 1/10

1/10 of 140 = 14

4 x 14 = 56

40% of 140 is 56

300

What is 75% of 400?

75% = 75/100

75/100 = 3/4

3/4 x 400 = (400 x 3) / 4

1200 / 4 = 300

75% of 400 is 300

400

A salesperson made 120% as much money this month as last month.

If the salesperson made $5,000 last month, how much did they make this month?

The salesperson made $6,000 this month.

x is ___% of y

100

50 cents is x% of 100 cents?

What is x?

x = 50%

200

60 is x% of 240

What is x?

x = 25%

60 is 25% of 240

300

If a family traveled 35 miles and went 70% of their trip, what is the whole distance of their trip?

The whole distance is 50 miles.

400

If you made $150 in a day, what percentage more is that than if I made $75 in a day?

$75 = 100%

$150 = x%

75/100 = 150/x

75x = 15000

x = 200%

Tricks We've Learned

100

We can always rewrite division as a ___________.

Fraction

200

If we need to multiply a fraction by a whole number, we can always put the whole number on top of a fraction over what number?

1

300

What could I multiply 0.4 by to change it to a whole number so I can make the problem (0.4) x 6 easier?

Multiply tenths by 10

400

If I multiplied four tenths by 10 to make it like 4 ones, what would I have to do at the end of my problem to correct my change?

Divide your product by 10