SAT Math · Systems of two linear equations in two variables · medium
An investor puts a total of 8,000 into two accounts, one earning 4% annual interest and the other earning 7% annual interest. After one…
An investor puts a total of $8,000 into two accounts, one earning 4% annual interest and the other earning 7% annual interest. After one year, the total interest earned is $470. How much more money is in the 7% account than in the 4% account?
Answer and explanation
Answer: A: 2000
Let be the amount at 4% and the amount at 7%. The interest equation is , which simplifies to , so and . Then the 7% account holds . The difference is , choice A. Check: interest is . Choice B (5000) is the amount in the 7% account, not the difference. Choice C (3000) is the amount in the 4% account. Choice D (1000) has no support. The question asks for how much more, which is a difference.
More Systems of two linear equations in two variables questions
- Question 4 · mediumThe system of equations 2x + 5y = 10 and 6x + ky = 30 has infinitely many solutions. What is the…
- Question 5 · easyIf 3x + 2y = 22 and x - 2y = 2, what is the value of x?
- Question 7 · mediumA theater sold 150 tickets for a play, some at 12 for adults and the rest at 7 for children. Total…
- Question 28 · mediumFor what value of k does the system 2x + 3y = 9 and 4x + ky = 20 have no solution?
- Question 58 · mediumThe lines y = 3x - 2 and y = -x + 14 intersect at a point. Is the y-coordinate of that point…
- Question 59 · hardThe system x + y = 10 and x - y = k has a solution in Quadrant I (where both x > 0 and y > 0) for…
Learn the method behind questions like this one
The SAT Math course teaches each tested skill through lessons, step-by-step solutions to sample problems, the complete study guide and full-length practice tests.