Lydia is at a coffee shop and knows

she can spend no more than $65

before tax. she sees this price list in

the coffee shop.

item

dark roast coffee

pumpkin spice coffee

breakfast tea

price per pound

$7.50

$10.50

$23.50

part a

write a number in each blank to complete an inequality lydia can use to find how

many pounds of pumpkin spice coffee, p, she can buy along with 2 pounds of

dark roast coffee.

Step-by-step explanation:

Let p represent pounds of Pumpkin Spice coffee.

We have been given that Lydia is at a coffee shop and knows  she can spend no more than $65  before tax. She sees this price list in  the coffee shop.

Item                                               Price per pound

Dark Roast Coffee                                 $7.50

Pumpkin Spice Coffee                         $10.50

Breakfast Tea                                       $23.50

Lydia wants to buy  2 pounds of  Dark Roast coffee, so the cost of 2 pounds of Dark Roast coffee would be .

We are told that cost of each pound of Pumpkin Spice coffee is $10.50, so cost of 'p' pounds of Pumpkin Spice coffee would be .

Since Lydia can spend no more than $65  before tax, so the cost of 2 pounds of  Dark Roast coffee and 'p' pounds of Pumpkin Spice coffee must be less than or equal to 65.

We can represent this information in an inequality as:

Therefore, our required inequality would be .

Divide both sides by 10.50:

Therefore, Lydia can buy less than or equal to pounds of Pumpkin Spice coffee.