Question

0) Emily and Perry are selling flower bulbs for a school fundraiser. Customers can buy bags of

windflower bulbs and bags of daffodil bulbs. Emily sold 14 bags of windflower bulbs and 10
bags of daffodil bulbs for a total of $320. Perry sold 3 bags of windflower bulbs and 7 bags of
daffodil bulbs for a total of $156. Find the cost each of one bag of windflower bulbs and one bag
of daffodil bulbs.
A) bag of windflower bulbs: $14, bag of daffodil bulbs: $17
B) bag of windflower bulbs: $13, bag of daffodil bulbs: $17
C) bag of windflower bulbs: $10, bag of daffodil bulbs: $18
D) bag of windflower bulbs: $15, bag of daffodil bulbs: $17

Answer 1

By setting up a system of equations from the sales information and solving it, we determine that one bag of windflower bulbs costs $10 and one bag of daffodil bulbs costs $18.

Step-by-step explanation:

Cost of Flower Bulbs

To find the cost of one bag of windflower bulbs and one bag of daffodil bulbs, we can set up a system of equations based on the information provided:

• Let x be the cost of one bag of windflower bulbs.
• Let y be the cost of one bag of daffodil bulbs.

The equations based on Emily's sales are:

1. 14x + 10y = $320

And the equations based on Perry's sales are:

1. 3x + 7y = $156

To solve this system, we can multiply the second equation by 2, so the new system will be:

• 14x + 10y = $320
• 6x + 14y = $312

Subtracting the second equation from the first, we get:

• 8x - 4y = $8

Which simplifies to:

• 2x - y = $2

Now we can solve for y using the original second equation 3x + 7y = $156.

Substituting 2x - y for the value of $2 into the equation, we obtain:

• 3x + 7(2x - $2) = $156
• 3x + 14x - $14 = $156
• 17x = $170
• x = $10

Since x is $10, we can use the first equation to solve for y.

• 14($10) + 10y = $320
• $140 + 10y = $320
• 10y = $180
• y = $18

Thus, one bag of windflower bulbs costs $10 and one bag of daffodil bulbs costs $18.