Given :
Customers can buy bags of windflower bulbs and packages of crocus bulbs. Brenda sold 5 bags of windflower bulbs and 5 packages of crocus bulbs for a total of $145.
Shayna sold 3 bags of windflower bulbs and 5 packages of crocus bulbs for a total of $121.
To Find :
The cost of one bag of windflower bulbs.
Solution :
Let, cost of one bag of windflower bulbs and crocus bulbs is x and y.
Converting given statement to mathematical equation, we get :
5x + 5y = 145
x + y = 29 ...1)
and
3x + 5y = 121 ...2)
Solving equation 1 and 2, we get :
3( 29 - y ) + 5y = 121
87 - 3y + 5y = 121
2y = 34
y = 17
and x = 12
Therefore, cost of one bag of windflower bulbs is $12 .
Hence, this is the required solution.