A trucker buys crates of apples and pears to sell at a Farmer's Market. The apples cost $6 per crate and the pears cost $5.50 per crate. Each crate weights 25 pounds. If the truck can carry 5000 pounds and the trucker has $1180 to spend, how many crates of each kind of fruit can he buy? Write your answer as an ordered pair (x, y).

He can buy 160 crates of apples and 40 crates of pears. (160, 40).

Step-by-step explanation:

From the information given, you can write the following equations:

25x+25y=5000 (1)

6x+5.50y=1180 (2), where:

x is the number of crates of apples

y is the number of crates of pears

First, you can solve for x in (1):

25x=5000-25y

x=(5000/25)-(25y/25)

x=200-y (3)

Then, you can replace (3) in (2) and solve for y:

6(200-y)+5.50y=1180

1200-6y+5.50y=1180

1200-1180=6y-5.50y

20=0.5y

y=20/0.5

y=40

Finally, you can replace the value of y in (3) to find the value of x:

x=200-y

x=200-40

x=160

According to this, the answer is that he can buy 160 crates of apples and 40 crates of pears. (160, 40).

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step-by-step explanation: