One day me. anderson brought to the farmers market the greatest number of pounds of fruit that he can carry in his truck, he brought two kinds of fruit : apples and peaches. he sells the apples for $2.50 per pound and sells the peaches for $3.25 per pound. that day, mr. anderson sold all the fruit he brought to the farmers market for a total of $2,497. how many pounds of apples and how many pounds of peaches did he sell that day?

998.8 pounds

Step-by-step explanation:

Let a be the number of apple pound and p is the number of peach pound.

We want to maximize the total of a and b.

From the total amount he earned from the farmer market at the end of the day we can have the following equation:

2.5a + 3.25p = 2497 or

So the total number of pound of fruits that he carries in his truck is

Since p is a real mass so p must ≥ 0. That means:

So the greatest number of pounds Anderson can carry in his truck is 998.8 pounds, all apples.

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step-by-step explanation: