Question

1

Mary and Darryl are selling flower bulbs for a school fundraiser. Customers can buy bags of

windflower bulbs and bags of daffodil bulbs. Mary sold 10 bags of windflower bulbs and 4

bags of daffodil bulbs for a total of $226. Darryl sold 6 bags of windflower bulbs and 4 bags of

daffodil bulbs for a total of $166. What is the cost each of one bag of windflower bulbs and

one bag of daffodil bulbs?

Answer 1

15 windflower bulbs

19 daffodil bulbs

Explanation:

Given

Represent windflower with W and daffodil with D.

So:

Mary's sales is:

10W + 4D = 226 --- (1)

Darryl's sales is:

6W + 4D = 166 ---- (2)

Required

Solve for W and D

We'll make use of elimination method.

Start by subtracting (2) from (1)

10W - 6W + 4D - 4D = 226 - 166

4W = 60

Multiply both sides by ¼

¼ * 4W = 60 * ¼

W = 60 * ¼

W = 15

Substitute 15 for W in (1)

10W + 4D = 226

10 * 15 + 4D = 226

150 + 4D = 226

Collect like terms

4D = 226 - 150

4D = 76

Multiply both sides by ¼.

¼ * 4D = 76 * ¼.

D = 19