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storchak
2 months ago
12

Michael breeds chickens and ducks. Last month, he sold 505050 chickens and 303030 ducks for \$550$550dollar sign, 550. This mont

h, he sold 444444 chickens and 363636 ducks for \$532$532dollar sign, 532. How much does a chicken cost, and how much does a duck cost?
Mathematics
1 answer:
tester [12.3K]2 months ago
4 0
Let the price of a chicken be represented as x and the price of a duck as y. The equations established are 50x + 30y = 550 (1) and 44x + 36y = 532 (2). By manipulating (1) with a factor of 6, we have 300x + 180y = 3,300 (3). Applying a factor of 5 to (2) results in 220x + 180y = 2,660 (4). Then, by subtracting (4) from (3), we find that 80x = 640, leading to x = 8. Substituting the value of x back into (1), we find 50(8) + 30y = 550, which simplifies to 30y = 150, and ultimately y = 5. Therefore, the costs are $8 for a chicken and $5 for a duck.
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If a line of one billion people stretched 327,495 miles long, the average shoulder width of the people in the line is A feet. Ro
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2 months ago
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Use the drawing tool(s) to form the correct answer on the provided number line. Will brought a 144-ounce cooler filled with wate
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Answer:

Total water in the cooler = 144 ounces

Water used for his bottle = 16 ounces

Water in each plastic cup = x ounces

Total number of cups = 16

The equation reflecting this information is

⇒ 16 + 16 x = 144

⇒16 x = 144 - 16

⇒16 x = 128

⇒ x = 128 ÷ 16

⇒ x = 8

Amount of water per cup = 8

It does not specify if after filling 16 plastic cups there is water remaining in the cooler.

If some water remains in the cooler after filling those cups, let’s say its volume is y -ounces.

Then the equation would change to

⇒144 = 16 + 16 x + y

⇒ 16 x + y = 144 - 16

⇒16 x + y = 128

This results in an equation with two variables, meaning that for various amounts of water left in the cooler (y), different amounts of water can go into the cups (x).




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2 months ago
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