SAT question 789975b7 (Linear Equations In Two Variables)

Question

A gardener buys two kinds of fertilizer. Fertilizer A contains $60%$ filler materials by weight and Fertilizer B contains $40%$ filler materials by weight. Together, the fertilizers bought by the gardener contain a total of $240$ pounds of filler materials. Which equation models this relationship, where $x$ is the number of pounds of Fertilizer A and $y$ is the number of pounds of Fertilizer B?

60

Difficulty:Easy

A

$0.4 x + 0.6 y = 240$

B

$0.6 x + 0.4 y = 240$

C

$40 x + 60 y = 240$

D

$60 x + 40 y = 240$

College Board · Accepted Answer

The correct answer is B. Choice B is correct. Since Fertilizer A contains 60% filler materials by weight, it follows that x pounds of Fertilizer A consists of 0.6x pounds of filler materials. Similarly, y pounds of Fertilizer B consists of 0.4y pounds of filler materials. When x pounds of Fertilizer A and y pounds of Fertilizer B are combined, the result is 240 pounds of filler materials. Therefore, the total amount, in pounds, of filler materials in a mixture of x pounds of Fertilizer A and y pounds of Fertilizer B can be expressed as 0.6x + 0.4y = 240 .

Explanation

Enter in Desmos:

Why the other choices are wrong

SAT Question 789975b7: Linear Equations In Two Variables answer and explanation with Desmos solution

Explanation

Enter in Desmos:

Why the other choices are wrong