Question

connie wants to buy 10 identical items for birthday party favors, and she wants them to be delivered to her home. She has $55 to spend, but the store adds a mandatory $5 tax for delivery items. How much can each favor cost in order to spend all of her $55?

Answer 1

Let x represent the cost of each items for birthday party favors.

Given that she wants to by 10 items,

cost of 10 items = 10 * x = 10x

From the information given,

cost of delivery of the items = 5

Total cost of items = cost of 10 items + cost of delivery = 10x + 5

Given that she has $55 to spend and she can spend all of it,

the linear equation representing this scenario is

10x + 5 = 55

Subtract 5 from both

10x + 5 - 5 = 55 - 5

10x = 50

Diviiding both sides by 10,

10x/10 = 50/10

x = 5

Each favor can cost $5 in order to spend all of her $55