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s2008m [1.1K]
3 years ago
5

P and Q each stand for whole numbers. P + Q = 1000 P is 150 greater than Q. Calculate the numbers P and Q ?

Mathematics
1 answer:
Artemon [7]3 years ago
8 0
P+Q=1000
Q+150=P
Plug (Q+150) for P.
(Q+150)+Q=1000
2Q=850
Divide both sides by 2.
Q=425
Now use 425 to find P.
425+P=1000
Subtract 425 from both sides.
P=575
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3c + 4b = 11.33   (1)

Darius can purchase 9 candy apples and 5 bags of peanuts. So his total cost would be 9c + 5b. Darius can buy 9 candy apples and 5 bags of peanuts in $23.56,so we can write the equation as: 

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<span>Darius decides to purchase 2 candy apples and 3 bags of peanuts. The total cost in this case will be 2c + 3b. To find this first we need to find the cost of each candy apple and bag of peanuts by solving the above two equations.

Multiplying equation 1 by three and subtracting equation 2 from it, we get:

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Thus, cost of one candy apple is $1.79 and cost of one bag of peanuts is $1.49.

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Therefore, Darius can buy 2 candy apples and 3 bags of peanuts in $8.05</span>
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