AlgebraHardInterpreting the solution of a system in context
Algebra practice question
A baker uses 2 eggs for each loaf of brioche and 3 eggs for each sponge cake. One morning she uses 18 eggs to make x loaves and y cakes, and she makes 4 more loaves than cakes. Which of the following is the solution of the system that models this situation?
- A. x = 6, y = 2Correct
- B. x = 2, y = 6
- C. x = 9, y = 0
- D. x = 5, y = 1
Answer: A. x = 6, y = 2
2x + 3y = 18 and x = y + 4. Substituting: 2(y + 4) + 3y = 18 → 5y = 10 → y = 2, x = 6. Check: 12 + 6 = 18 and 6 − 2 = 4.
Why the other answers are wrong
- B. x = 2, y = 6
- 2(2) + 3(6) = 22, and 2 is not 4 more than 6.
- C. x = 9, y = 0
- 9 loaves use 18 eggs, but 9 is not 4 more than 0.
- D. x = 5, y = 1
- 2(5) + 3(1) = 13, not 18.
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.