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.