AlgebraEasy–MediumA number plus a fraction of itself
Algebra practice question
The sum of a number and three fifths of the same number is 48. What is the number?
Answer: 30
n + (3/5)n = (8/5)n = 48, so n = 48 × 5/8 = 30.
Common wrong answers
- If you answered 18
- 18 is three fifths of 30, not the number.
- If you answered 80
- 80 comes from (3/5)n = 48 alone, ignoring the number itself.
- If you answered 76.8
- 76.8 comes from multiplying 48 by 8/5 instead of 5/8.
More Algebra questions
- Easy–Medium
A line passes through the points (0, 3) and (2, 7). What is the slope of the line? - Easy–Medium
A gym charges a $25 one-time signup fee plus $15 per month. Which equation gives the total cost C, in dollars,… - Easy–Medium
If 5(x − 2) = 3x + 4, what is the value of x? - Easy–Medium
A taxi charges a $3.50 base fare plus $2.25 per mile. If a ride costs $19.25 total, how many miles was the rid… - Easy–Medium
The equation of a line is 3x + 2y = 12. What is the y-coordinate of the point where the line crosses the y-axi… - Easy–Medium
A line in the xy-plane passes through the points (1, 5) and (4, 11). What is the y-intercept of the line?
Not affiliated with the College Board. SAT is a trademark of the College Board.