Question: If 3/5 of a number is 30, what is the number?
Options:
50
60
70
80
Correct Answer: 60
Solution:
Let the number be x. Then, 3/5 * x = 30, so x = 30 * 5/3 = 50.
If 3/5 of a number is 30, what is the number?
Practice Questions
Q1
If 3/5 of a number is 30, what is the number?
50
60
70
80
Questions & Step-by-Step Solutions
If 3/5 of a number is 30, what is the number?
Step 1: Understand that we need to find a number, which we will call 'x'.
Step 2: We know that 3/5 of this number 'x' equals 30. This can be written as the equation: (3/5) * x = 30.
Step 3: To solve for 'x', we need to get 'x' by itself. We can do this by multiplying both sides of the equation by the reciprocal of 3/5, which is 5/3.
Step 4: Multiply both sides of the equation by 5/3: (5/3) * (3/5) * x = 30 * (5/3).
Step 5: The left side simplifies to 'x' because (3/5) * (5/3) = 1. So we have x = 30 * (5/3).
Step 6: Now calculate the right side: 30 * (5/3) = 30 * 5 / 3 = 150 / 3 = 50.
Step 7: Therefore, the number 'x' is 50.
Proportions – Understanding how to manipulate fractions and proportions to solve for an unknown variable.
Algebraic Manipulation – Applying algebraic techniques to isolate the variable and solve the equation.
Soulshift Feedback×
On a scale of 0–10, how likely are you to recommend
The Soulshift Academy?
