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?

A) 0.4x + 0.6y = 240

B) 0.6x + 0.4y = 240

C) 40x + 60y = 240

D) 60x + 40y = 240

Question

Mathematics

Octavio Stout

28 July, 13:31

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?

A) 0.4x + 0.6y = 240

B) 0.6x + 0.4y = 240

C) 40x + 60y = 240

D) 60x + 40y = 240

+2

Answers (1)

Know the Answer?

Kaitlynn Ward · Answer 1

The correct answer is option B.

Step-by-step explanation:

The number of pounds of Fertilizer A = x

Percentage of fillers in Fertilizer A = 60%

Amount of fillers in of Fertilizer A = 0.6x

The number of pounds of Fertilizer B = y

Percentage of fillers in Fertilizer B = 40%

Amount of fillers in of Fertilizer B = 0.4y

Total amount of fillers bought by gardener = 240 pounds

Equation models this relationship: 0.6x + 0.4y = 240