AlgebraHardBags of two sizes from a total weight
Algebra practice question
A shop packs rice in 3-kilogram and 5-kilogram bags. One order contained 24 bags weighing 80 kilograms in total. How many 5-kilogram bags were in the order?
Answer: 4
With f five-kilogram bags: 3(24 − f) + 5f = 80 gives 72 + 2f = 80, so f = 4.
Common wrong answers
- If you answered 12
- 12 splits the bags evenly.
- If you answered 16
- 16 divides 80 by 5, ignoring the smaller bags.
- If you answered 20
- 20 is the number of 3-kilogram bags.
More Algebra questions
- Hard
For how many integer values of x is −2 < (x − 5)/3 ≤ 1 true? - Hard
The system 2x + 3y = 6 and 4x + 6y = k has infinitely many solutions. What is the value of k? - Hard
Which of the following is the complete solution set to |x − 4| < 6? - Hard
A student has $40 to spend on notebooks costing $4 each and pens costing $2 each, and wants at least 12 items … - Hard
What is the least whole number of minutes of international calling in a month for which the total monthly cost… - Hard
How many liters of the 30% acid solution did the technician use?
Not affiliated with the College Board. SAT is a trademark of the College Board.