Question valent
Valentina bought two containers of beads. In the first container 30% of the beads are red, and in the second container 70% of the beads are red. Together, the containers have at least 400 red beads. Which inequality shows this relationship, where x is the total number of beads in the first container and y is the total number of beads in the second container?
Valentina bought two containers of beads. In the first container 30% of the beads are red,
Medium-difficulty · SAT Math · Linear Inequalities in One or Two Variables — Graphing two-variable inequalities. Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.
Answer explanation
Choice A is correct. It is given that x is the total number of beads in the first container and that 30% of those beads are red; therefore, the expression 0.3x represents the number of red beads in the first container. It is given that y is the total number of beads in the second container and that 70% of those beads are red; therefore, the expression 0.7y represents the number of red beads in the second container. It is also given that, together, the containers have at least 400 red beads, so the inequality that shows this relationship is 0.3x + 0.7y ≥ 400.
Choice B is incorrect because it represents the containers having a total of at most, rather than at least, 400 red beads. Choice C is incorrect and may be the result of misunderstanding how to represent a percentage of beads in each container. Also, the inequality shows the containers having a combined total of at most, rather than at least, 400 red beads. Choice D is incorrect because the percentages were not converted to decimals.
More Linear Inequalities in One or Two Variables practice questions
- y ≤ x + 7 y ≥ - 2 x - 1 Which point
- The Karvonen formula above shows the relationship between Alice’s target heart rate
- The boundary of the inequality is a solid line. The line slants sharply up
- Which of the following ordered pairs ( x , y ) satisfies the system
- y > 13 x - 18 For which of the following tables are all
- A model estimates that whales from the genus Eschrichtius travel 72 to 77 miles
- The minimum value of x is 12 less than 6 times another number n
- A geologist needs to collect at least 67 samples of lava from a volcano.
Browse all Heart of Algebra practice questions or return to the full SAT question bank.