Question

An online seed supplier packages a seed mix that costs the company $20.70 per pound. The mix includes poppy seeds costing $24.00 per pound and clover seeds costing $13.00 per pound. If a worker is going to prepare some of this mix and has already measured out 26 pounds of poppy seeds, what quantity of clover seeds should he add?

Answer 1

A 11.14

Explanation:

To solve this, add the total cost of the poppy seed ($24 × 26) to the cost of the clover seeds ($13x), then divide both by the total number of pounds the finished mixture will weigh.

Answer 2

The quantity of clover seeds the worker will add is 11.14 pounds

Explanation:

Let

x=Poppy seed

y=clover seed

24x+13y=20.70(x+y)

x=26 pounds

Substitute x=26 pounds into the equation

24x+13y=20.70(x+y)

24(26)+13y=20.70(26+y)

624+13y=538.2 +20.70y

Collect like terms

624-538.2=20.70y-13y

85.8=7.7y

Divide both sides by 7.7

y=85.8/7.7

=11.14 pounds

Therefore, the quantity of clover seeds the worker will add is 11.14 pounds