Question

Lea and Alberto are selling flower bulbs for a fundraiser. Customers can buy bags of windflowers bulbs and packages of crocus bulbs. Lea sold 9 bags of windflower bulbs and 10 packages of crocus bulbs for a total of $201. Alberto sold 7 bags of windflower bulbs and 3 packages of crocus bulbs for a total of $99. What is the cost each of one bad of windflower bulbs and one package of crocus bulbs

Answer 1

Each package of windflower bulbs costs $9 and each package of crocus bulb costs $12.

Explanation:

Lea sold 9 bags of windflower bulbs and 10 packages of crocus bulbs for a total of $201 and Alberto sold 7 bags of windflower bulbs and 3 packages of crocus bulbs for a total of $99.

If each package of windflower bulbs costs $x and each package of crocus bulb costs $y, then we can write the equations

9x + 10y = 201 ....... (1)

⇒ 63x + 70y = 1407 ........ (2) and

7x + 3y = 99 ....... (3)

⇒ 63x + 27y = 891 ........ (4)

Now, solving equations (2) and (4) we get,

70y - 27y = 1407 - 891

⇒ 43y = 516

⇒ y = 12

And from equation (3) we get,

7x = 99 - 3y = 99 - 3 × 12 = 63

⇒ x = 9

Therefore, each package of windflower bulbs costs $9 and each package of crocus bulb costs $12. (Answer)