Question

Gabriel went to the store to buy some coffee. The price per pound of the coffee is $4.50 per pound and he has a coupon for $2 off the final amount. With the coupon, how much would Gabriel have to pay to buy 4 pounds of coffee? Also, write an expression for the cost to buy pp pounds of coffee, assuming at least one pound is purchased.

Answer 1

To find out how much Gabriel will have to pay for 4 pounds of coffee with the coupon, we can follow these steps:

1. Calculate the total cost of the coffee before using the coupon: \[ \text{Total cost} = \text{Price per pound} \times \text{Number of pounds} \] \[ \text{Total cost} = 4.50 , \text{dollars/pound} \times 4 , \text{pounds} = 18.00 , \text{dollars} \]

2. Apply the coupon by subtracting $2 from the total cost: \[ \text{Final cost} = \text{Total cost} - \text{Coupon value} \] \[ \text{Final cost} = 18.00 , \text{dollars} - 2 , \text{dollars} = 16.00 , \text{dollars} \]

Gabriel will have to pay $16.00 for 4 pounds of coffee.

Now, to express the cost to buy \( pp \) pounds of coffee (where \( pp \) represents the number of pounds purchased), we can write the following expression:

1. Calculate the total cost without the coupon: \[ \text{Total cost} = 4.50 \times pp \]

2. Then we subtract the coupon amount: \[ \text{Final cost} = (4.50 \times pp) - 2 \]

Thus, the expression for the cost to buy \( pp \) pounds of coffee, assuming at least one pound is purchased, is: \[ \text{Cost} = (4.50 \times pp) - 2 \]