Question

You and your friend's dinner cost was $24.75. Your dinner cost $2.75 less than your friend's. How much was your friend's dinner? Write and solve an equation to determine how much your friend's dinner cost. Use f to represent the cost of your friend's dinner.

A) f - 2.75 = 24.75
B) f + 2.75 = 24.75
C) f - 2.75 = 27.50
D) f + 2.75 = 27.50

Answer 1

f + f + $2.75 = $24.75

2f + $2.75 = $24.75

2f = $22.00

f = $11.00

My friend's dinner cost $11.00, so my dinner costs $13.75.

Answer 2

Your friend's dinner cost $13.75.

Step-by-step explanation:

To find out how much your friend's dinner cost, we can set up an equation. Let f represent the cost of your friend's dinner. We know that your dinner cost $2.75 less than your friend's, so your dinner cost would be f - 2.75. The total cost of both dinners is $24.75, which we can express as (f - 2.75) + f = 24.75.

Simplifying the equation, we get 2f - 2.75 = 24.75. Adding 2.75 to both sides of the equation, we get 2f = 27.50. Finally, dividing both sides of the equation by 2, we find that f, the cost of your friend's dinner, is 27.50 ÷ 2 = $<<27.50/2=13.75>>13.75.

So, your friend's dinner cost $13.75.