A and B agree to share the cost of an $18 pizza based on how much each would eat. B ate 3/2 of the pizza that A ate. How much should A and B each pay?
A=
B=
Thank you
A + 1.5 A = 18
2.5 A = 18
A = 7.20
B = 10.80
f(x)=x^2+7 upward 8 units
To determine how much A and B should each pay, we need to find the fraction of the pizza that each person ate.
Let x be the fraction of the pizza that A ate.
According to the problem, B ate 3/2 of the pizza that A ate. Therefore, B's fraction of the pizza is 3/2 times A's fraction, which is (3/2)*x = 3x/2.
Since A and B share the cost equally, we can set up the equation:
x + 3x/2 = 1
Combining like terms:
2x + 3x = 2
Simplifying the equation:
5x = 2
Dividing both sides by 5:
x = 2/5
So, A ate 2/5 of the pizza, and B ate 3/2 times A's fraction, which is (3/2) * (2/5) = 6/10 = 3/5.
To determine how much each person should pay, we need to divide the cost of the pizza by the fraction they ate.
A should pay (2/5) * $18 = $7.20.
B should pay (3/5) * $18 = $10.80.
Therefore, A should pay $7.20 and B should pay $10.80.
To determine the amount that A and B should each pay, we need to calculate the proportion of the pizza that each person ate. Let's break down the problem step by step:
Given:
Total cost of the pizza = $18
B ate 3/2 of the pizza that A ate.
Step 1: Determine the proportion of the pizza that B ate.
Let's assume that A ate "x" amount of the pizza. So B would have eaten (3/2)x amount of the pizza.
Step 2: Calculate the total amount of pizza eaten.
The total amount of pizza eaten is the sum of what A and B ate. In this case, it would be:
(x + (3/2)x) = (5/2)x
Step 3: Determine the proportion of the cost that each person should pay.
Since A and B ate in the ratio of x:(3/2)x = 2:3, they should pay in the ratio of 2:3. Let's assign this ratio to A and B respectively.
Step 4: Calculate the amount each person should pay.
To calculate A's payment, we multiply A's proportion (2/5) by the total cost: (2/5) * $18 = $7.20
Similarly, to calculate B's payment, we multiply B's proportion (3/5) by the total cost: (3/5) * $18 = $10.80
Therefore, A should pay $7.20, and B should pay $10.80.