Question

Your roommate, pilar, offered to buy groceries for you and your other roommate. the total bill was $87.80. she forgot to save the individual receipts but remembered that your groceries were $0.05 cheaper than half of her groceries, and that your other roommate’s groceries were $1.90 more than your groceries. how much was each of your share of the groceries?

Answer 1

To find each person's share of the groceries, we can set up an equation using the given information and solve for the unknown. The equation will involve the cost of Pilar's groceries ('x') and can be used to calculate the cost of each person's groceries.

Step-by-step explanation:

Let's assume the cost of Pilar's groceries is 'x' dollars. According to the information given, your groceries cost $0.05 less than half of Pilar's groceries, so your groceries cost (0.5x - 0.05) dollars. Additionally, your other roommate's groceries cost $1.90 more than your groceries, so their groceries cost (0.5x - 0.05 + 1.90) dollars.

Since the total bill is $87.80, the sum of all three shares of groceries must equal $87.80. We can set up the following equation to solve for 'x':

(0.5x - 0.05) + (0.5x - 0.05 + 1.90) + x = 87.80

Solving this equation will give us the value of 'x', which represents Pilar's groceries. We can then substitute this value back into the two expressions for your groceries and your other roommate's groceries to calculate each of your shares.