AlgebraVery hardGreatest count under a two-item budget
Algebra practice question
Pens cost $2 and notebooks cost $3. Mira buys exactly 5 notebooks and some pens, spending at most $30 in total. What is the greatest number of pens she can buy?
Answer: 7
2p + 15 ≤ 30 gives p ≤ 7.5, so the greatest whole number is 7.
Common wrong answers
- If you answered 8
- 8 would cost $31.
- If you answered 15
- 15 divides 30 by 2, ignoring the notebooks.
- If you answered 7.5
- 7.5 is not a whole number of pens.
More Algebra questions
- Very hard
For what value of c does the system 3x − 2y = 8 and 9x + cy = 5 have no solution? - Very hard
In the system 5x + 4y = 32 and 3x − 2y = 6, what is the value of 8x + 2y? - Very hard
The solution set of the inequality |ax − b| ≤ 6, where a and b are constants and a > 0, is 3 ≤ x ≤ 9. What is … - Very hard
The function f is linear, and for every value of x, f(x + 2) − f(x) = 6. If f(5) = 4, what is the value of f(0… - Very hard
In the system of equations 2x + 3y = 12 and 5x − 2y = k, where k is a constant, the solution (x, y) satisfies … - Very hard
In the xy-plane, the system of equations kx + 6y = 12 and 2x + (k − 1)y = 6, where k is a constant, has infini…
Not affiliated with the College Board. SAT is a trademark of the College Board.