There are 5 pounds of almonds in the container. The correct option is option A
The Breakdown
Assuming the number of pounds of almonds in the container is represented by 'a'.
According to the given information, almonds cost $5 per pound and cashews cost $2 per pound. The container sells for $3 per pound.
We know that there are 10 pounds of cashews in the container. So, the cost of the cashews in the container would be 10 pounds multiplied by $2 per pound, which is $20.
The total cost of the container is given as $3 per pound.
The cost of almonds can be calculated as 'a' pounds multiplied by $5 per pound, which is 5a.
Therefore, the total cost of the container is 5a + $20.
Since the total cost is $3 per pound, we can set up the following equation:
5a + $20 = $3 × (a + 10)
Simplifying the equation:
5a + $20 = $3a + $30
Subtracting $3a from both sides:
2a + $20 = $30
Subtracting $20 from both sides:
2a = $10
Dividing both sides by 2:
a = $10 / 2
a = 5
Therefore, there are 5 pounds of almonds in the container.