Rate Word Problems
Math
Rate: A rate is a special type of ratio that describes the comparison by division of two quantities with different units.
Example: total miles per hours, total meters per seconds.
Rate is the ratio between two quantities with different units.
Rate tells how quickly one quantity changes in relation to another quantity.
Rate is the ratio between two quantities with different units.
A type of rate where the denominator or second quantity in the ratio is always 1 unit.
A unit rate has a compound unit sample compound units for Unit Rates.
The unit rate describes the amount per one, or the rate when the denominator is one.
Ex.
miles per hour
meters per second
liters per day
Identify the ratios that are associated with conversions between feet, inches, and yards.
12 inches = _______ foot;
the ratio of inches to feet is _______
1 foot = ___________ inches;
the ratio of feet to inches is ______
Ratio:
A comparison between two quantities.
Equivalent ratio:
Two ratios that express the same relationship or value between two quantities.
Value of the Ratio:
A ratio written as a simplified fraction.
LCM:
The smallest multiple that two or more numbers have in common
GCF:
The largest factor two or more numbers have in common.
Factor:
Numbers that are multiplied together to get a product.
Product:
The result of two factors multiplied together.
Multiples:
The product of the factor by a factor. The answer after multiplying the number by a number.
Q. 1. What is the least common multiple of a 8 and 12?
Q.2. At a school dance. There are 20 boys out of 50 total students.
What is the value of this ratio?
Solution: The value of the ratio is the ratio written as a fraction and simplified.
boys/total = 20/50 then simplify
Q.3. The table below shows the animals at the zoo. What is the value of the ratio of deer to the total number of animals?
Solution:
Animals at the Zoo
Chickens. - 3
Deer -4
Donkey. - 6
Goats - 7
Total animals:
3 + 4 + 6 + 7 = 20
deer/total 4/20 then simplify
1/5
Q.4. Tina read 100 pages in 4 days.
How many pages would she read in 2 days for an equivalent ratio?
Solution:
Pages/days. = 100/4 = ?/2
100 / 2 = 50
Tina would read 50 pages in 2 days.
Q.5. One train leaves
Q.10. A fruit drink calls for sugar crystals to be mixed with water in a ratio of 2.6. This means that for every 2 scoops of sugar crystals. There will need to be 6 ounce of water. If there were 240 scoops of sugar crystals, There would need to be 720 ounces of water. Are these two ratios equivalent?
Sugar/water. = 2/6 = 240/720
Yes, the ratios are equivalent because both quantities have a scale multiplier of 120 to create the equivalent ratio.