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Kipish [7]
2 years ago
8

Harper went into a movie theater and bought 10 bags of popcorn and 6 drinks,

Mathematics
1 answer:
Gnesinka [82]2 years ago
5 0

Answer:

The price of a drink = $4

The price of a bag of popcorn = $5.5

Step-by-step explanation:

Let p represent popcorn and d represent drink

<u>Harper bought 10 bags of popcorn and 6 drinks and paid $79 ➡ 10p + 6d = $79</u>

<em>Damian bought 3 bags of popcorn and 5 drinks and paid $36.50 ➡ 3p + 5d = $36.50</em>

Now multiply first equation by -3 and second equation by 10

-3 × (10p + 6d) = $79 ➡ -30p - 18d = -$237

10 × (3p + 5d) = $36.50 ➡ 30p + 50d = $365

Now add the new equationd

30p + 50d -30p - 18d = $365 - $237 (-30p will eliminate 30p)

32d = $128 divide both sides of the equation by 32

32 ÷ 32d = 32 ÷ $128 ➡ d = 4

If d = 4 that means a drink costs $4 we can use this information to find the price of a bag of popcorn

3p + 5d = $36.50 (replace d with 4)

3p + 4×5 = $36.50

3p + 20 = $36.50

3p = $36.50 - 20

3p = 16.50 divide both sides by 3

p = $5.5

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Total money that she can pay yearly for house loan if Fatima allowable money for paying loans is $ 1935=

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Money saved as a down payment = $ 15,000

So, maximum amount loan Fatima can take on a house= 23220 + 15000=$38,220

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Amount that fatima can spend yearly on her house = 1505× 12 =$18,060

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7 0
2 years ago
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iren [92.7K]
X liters of 10% + (30 - x) liters of 22% = 30 liters of 15% 

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<span>Distribute </span>
<span>10x + 660 - 22x = 450 </span>

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2 years ago
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