Answer:
10.50p+15≤65
p≤ 100/21
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 $7.50×2=$15 .
We are told that cost of each pound of Pumpkin Spice coffee is 10.50,socostof′ p'
pounds of Pumpkin Spice coffee would be 10.50
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:
10.50p+15≤65
Therefore, our required inequality would be 10.50p+15≤65
10.50+15-15≤65-75
10.50≤50
Divide both sides by 10.50:
10.50p/10.50 ≤ 50/10.50
P ≤ 50*2/10.50*2
P ≤ 100/21
P ≤ 4.76190
Therefore, Lydia can buy less than or equal to 100/21 pounds of Pumpkin Spice coffee.