AlgebraHardLarge bags from a mixed order
Algebra practice question
A shop sells flour in 4-kilogram and 3-kilogram bags. An order of 11 bags weighed 39 kilograms. How many 4-kilogram bags were in the order?
Answer: 6
With f four-kilogram bags: 4f + 3(11 − f) = 39 gives f = 6.
Common wrong answers
- If you answered 5
- 5 is the number of 3-kilogram bags.
- If you answered 9.75
- 9.75 divides 39 by 4, ignoring the smaller bags.
- If you answered 5.5
- 5.5 splits the bags evenly.
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.