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
Accepted Solution
A:
Answer:Each package of windflower bulbs costs $9 and each package of crocus bulb costs $12.Step-by-step 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 Β 9x + 10y = 201 ....... (1) Β β Β 63x + 70y = 1407 ........ (2) and
7x + 3y = 99 ....... (3) Β β 63x + 27y = 891 ........ (4)
Now, solving equations (2) and (4) we get, Β 70y - 27y = 1407 - 891
β 43y = 516
β y = 12
And from equation (3) we get,
7x = 99 - 3y = 99 - 3 Γ 12 = 63
β x = 9
Therefore, each package of windflower bulbs costs $9 and each package of crocus bulb costs $12. (Answer)