Question

deshawn and willie are selling flower bulbs for a school fundraiser. customers can buy packages of tulip bulbs and bags of daffodil bulbs. deshawn sold 3 packages of tulip bulbs and 7 bags of daffodil bulbs for a total of $127. willie sold 12 packages of tulip bulbs and 14 bags of daffodil bulbs for a total of $284. find the cost each of one package of tulips bulbs and one bag of daffodil bulbs.

Answer 1

Cost of one package of tulips bulbs:
`\$5`

Cost of one bag of daffodil bulbs:
`\$16`

Explanation:

Let be "t" the cost in dollars of one package of tulips bulbs and "d" the cost in dollars of one package of bag of daffodil bulbs.

Set up a System of equations:

`\left \{ {{3t+7d=127} \atop {12t+14d=284}} \right.`

You can use the Elmination Method to solve the system of equations:

1. Multiply the first equation by -2.

2. Add the equations.

3. Solve for "t".

Then:

`\left \{ {{-6t-14d=-254} \atop {12t+14d=284}} \right.\\........................\\6t=30\\\\t=(30)/(6)\\\\t=5`

4. Substitute the value of "t" into any original equation and solve for "d":

`3(5)+7d=127\\\\7d=112\\\\d=(112)/(7)\\\\d=16`