A sale at a local grocery store was offering all fruit at the same price per pound. Valencia bought 1.5 pounds of peaches and 3.5 pounds of plums. She used a 50 cents off coupon and ended up spending exactly $5.00. What was the price per pound for the fruit that Valencia bought?

she bought a total of 1.5+3.5 = 5.0 lbs of fruit

So the price before the discount was (5.00+0.50)/5.0 = $1.10/lb

To find the price per pound for the fruit that Valencia bought, we can use the given information.

Let's assume the price per pound for all the fruit is "x" dollars.

The cost of the peaches would be 1.5 pounds multiplied by x dollars per pound, which is 1.5x dollars.
Similarly, the cost of the plums would be 3.5 pounds multiplied by x dollars per pound, which is 3.5x dollars.

After applying the 50 cents off coupon, Valencia spent exactly $5.00. So we can set up the following equation:

1.5x + 3.5x - 0.50 = 5.00

Combining like terms, we have:
5x - 0.50 = 5.00

Adding 0.50 to both sides, we get:
5x = 5.50

Finally, dividing both sides of the equation by 5, we find:
x = 5.50/5

Therefore, the price per pound for the fruit that Valencia bought is $1.10.