Devin is a landscaper who needs to prepare different types of grass seed for his customers' yards. Bluegrass seed costs $2.00 per pound while drought-resistant seed costs $3.00 per pound. If for a particular day the two types of grass seed totaled $68.00 and together weighed 25 pounds, how many pounds of bluegrass seed did Devin prepare? Choose 1 answer: (A) 4 (B) 7 (c) 18 (D) 21

Question

Devin is a landscaper who needs to prepare different types of grass seed for his customers' yards. Bluegrass seed costs  $2.00 per pound while drought-resistant seed costs  $3.00 per pound. If for a particular day the two types of grass seed totaled  $68.00 and together weighed 25 pounds, how many pounds of bluegrass seed did Devin prepare? Choose 1 answer: (A) 4 (B) 7 (c) 18 (D) 21

Bytelearn · Accepted Answer

Denoting the seeds: Let's denote the number of pounds of bluegrass seed as B and the number of pounds of drought-resistant seed as D. We have two types of information: the total cost and the total weight.Equation for total cost: The total cost of the seeds is $68.00. Since bluegrass seed costs $2.00 per pound and drought-resistant seed costs $3.00 per pound, we can write the following equation for the total cost: 2B + 3D = 68Equation for total weight: The total weight of the seeds is 25 pounds. This gives us another equation: B + D = 25System of equations: We now have a system of two equations with two variables: 1) 2B + 3D = 68 2) B + D = 25 We can solve this system using substitution or elimination. Let's use the substitution method. We can solve the second equation for D: D = 25 - BSubstitution method: Substitute D = 25 - B into the first equation: 2B + 3(25 - B) = 68 Now, distribute the 3: 2B + 75 - 3B = 68Substituting D into the first equation: Combine like terms: 2B - 3B = 68 - 75 -B = -7Combining like terms: Multiply both sides by -1 to solve for B: B = 7Solving for B: So, Devin prepared 7 pounds of bluegrass seed.

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