Question

An online seed supplier packages a seed mix that costs the company $23.20 per pound. Themix includes poppy seeds costing $25.45 per pound and clover seeds costing $14.20 perpound. If a worker is going to prepare some of this mix and has already measured out 14pounds of poppy seeds, what quantity of clover seeds should he add?Write your answer as a whole number or as a decimal rounded to the nearest tenth.

Answer 1

3.5 pounds

Step-by-step explanation:

The cost of seed mix per pound = $23.20

The cost of the poppy seeds per pound = $25.45

The cost of the clover seeds per pound = $14.20

let the number of poppy seeds = P

Let the number of clover seeds = C

Number of Seed mix = P + C

Total cost of seed mix:

Number of pounds of poppy seeds(cost per pounds) + Number of pounds of clover seeds(cost per pounds) = Number of pounds of seed mix (cost per pounds)

P(25.45) + C(14.20) = 23.20(P + C)

Expanding the parenthesis:

25.45P + 14.20C = 23.20P + 23.20C

collect like terms:

25.45P - 23.20P = 23.20C - 14.20C

2.25P = 9C

divide both sides by 9:

2.25P/9 = 9C/9

C = 2.25P/9

We were told 14 pounds of poppy seeds was measured.

This means P = 14 pounds

C = ?

Inserting into the equation above:

C = 2.25(14)/9

C = 3.5

The quantity of clover seeds he should add is 3.5 pounds