Every day, we are faced with the challenge of comparing two quantities. It could be height, weight, salary, grade, and so on. If two quantities are to be compared, their units need to be the same.
Comparing quantities refers to a quantitative relationship between two quantities that reflects their relative size. This is simply a method for comparing the quantities.
It is possible to compare quantities using a number of approaches, including percentages, ratios, profits and losses, and simple interest.
Two quantities in the same kind and unit have a proportional relationship when one quantity is fractionally a part of the other.
The ratio a:b is the same as the fraction ab, and it is written as a:b.
When a : b are equal, we call the antecedent and b the consequent.
It is essential that the units of two quantities be the same.
The four quantities are called proportional when the two ratios are equal.
The equation a : b :: c : d can be expressed as a : b : c : d.
Percentages can be obtained by multiplying fractions by 100 and adding a % sign
As an example, 14 = 14 × 100 = 25%
Learning Videos for 7th Grade Math - Comparing Quantities
A regular item costs $8.50 and there is a discount of 45%. What is the amount discounted?
A. $3.83
B. $4.67
C. $4.83
D. $3.67
Question 2
A clothing shop has a markup of 45% on the wholesale price of shirts. If the wholesale price of men's shirts is $35.00, what will be the retail price?
A. $80.00
B. $52.50
C. $57.50
D. $50.75
Question 3
Mrs. Avers deposited $3,000 in her credit union savings account. What amount of interest will she receive on her deposit if she leaves the money in the account for one year at 8 1/2% interest?
A. $250
B. $255
C. $300
D. $350
Question 4
A box contains only purple and green marshmallows. Six are purple. If the probability of choosing a purple marshmallow from the box is 1/3, how many green marshmallows are in the box?
A. 2
B. 6
C. 9
D. 12
Question 5
Scott's orchestra has 18 string musicians, 9 percussion musicians, 15 brass musicians, and 12 woodwind musicians. Six of the musicians cannot play in the next performance. If the remaining musicians plan to sit in rows of 6 chairs, how many rows of chairs are needed?