Manuel bought 9 pounds of apples. He has eaten three fourths of a pound so far and has​ $15 worth of apples left. Write and solve an equation to find the cost of the apples per pound to the nearest dollar. How much did the apples cost per​ pound?

so, he has 9 and 1/4 lbs left. $15=9 and 1/4 lbs. calculate how much it is for one pound of apples.

Let's assume the cost of the apples per pound as "x".

The total cost of the 9 pounds of apples would be 9x dollars.

Since Manuel has eaten three-fourths (3/4) of a pound of apples, he has 9 - (3/4) = 9 - 2.25 = 6.75 pounds of apples left.

The cost of the 6.75 pounds of apples remaining is given as $15.

Therefore, we can set up the equation:

6.75x = 15

To find the cost of the apples per pound, we can solve for "x".

Dividing both sides of the equation by 6.75, we get:

x = 15 / 6.75

x ≈ 2.22

Therefore, the cost of the apples per pound is approximately $2.22.

To find the cost of the apples per pound, we can use the equation:

Cost of the apples per pound * Number of pounds = Total cost

Let's break down the problem step by step:

1. Manuel bought 9 pounds of apples.
2. He has eaten three fourths of a pound so far.
3. He has $15 worth of apples left.

To find the answer, we need to calculate the total cost and then solve for the cost of the apples per pound.

Step 1: Calculate the total cost
Let's assume the cost of the apples per pound is x dollars.

The total cost of the 9 pounds of apples is 9*x dollars.

Step 2: Calculate the cost of the apples Manuel has eaten
Manuel has eaten three fourths of a pound. Therefore, the cost of the apples he has eaten is (3/4)*x dollars.

Step 3: Calculate the remaining value of the apples
Manuel has $15 worth of apples left. So the cost of the remaining apples is 15 dollars.

Step 4: Write and solve the equation
We can write the equation based on the given information:

Total cost - Cost of the apples eaten = Remaining value
9*x - (3/4)*x = 15

Simplifying the equation:
(36/4)*x - (3/4)*x = 15
(33/4)*x = 15

Dividing both sides by (33/4):
x = (15 * 4) / 33
x ≈ 1.82

Therefore, the cost of the apples per pound, rounded to the nearest dollar, is approximately $2.

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