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vlabodo [156]
3 years ago
9

If all of the people that live in your home bought one 360 pound hamburger from Mallie’s Sports Grill and ate 2/3 pound servings

each every evening for dinner (and could keep it so that it wouldn’t become spoiled), how many days would your family be eating hamburger?
# of people in household # days
? ?
? ?
? ?
Mathematics
1 answer:
Vsevolod [243]3 years ago
7 0
We have 4 people in our home
so total bought 360 pounds of hamburger
each ate 2/3 pound every day
so 360-(amount eaten per day) times (number of days)=0 (0 because we want it to be gone)
number of days=x unknown
amount eaten per day=(number of people) times (amount eaten per person per day)
amount eaten per day=4 times 2/3 lb=8/3
360-8/3 times x=0
360-8/3x=0
add 8/3x to both sides
360=8/3x
multiply both sides by 3/8
1080/8=x
135=x
it would take 135 days or about 4 months or 1/3 year, assuming that my family doesn't get tired of it and that my reletives don't visit and take a whole bunch to bring home.

4 people takes 135 days
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Step-by-step explanation:

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# I = Interest Amount

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# t = Time Period involved in months or years

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- Account A pays 7​% annual interest

- Account B pays 4​% annual interest

- Let A represent the amount of money invested in the account A

- Let B represent the amount of money invested in the account B

- You would like to earn $ 95 at the end of one year

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- Lets write the equations

# Account A :

∵ Account A has $A invested

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∵ Account A pays 7​% annual interest

∴ r = 7/100 = 0.07

∵ t = 1 year

∵ I = Prt

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# Account B :

∵ Account B has $B invested

∴ P = $B

∵ Account A pays 4​% annual interest

∴ r = 4/100 = 0.04

∵ t = 1 year

∵ I = Prt

∴ I = B(0.04)(1) = 0.04B

- The total amount of interest from both accounts at the end of one

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∴ I from A + I from B = 95

∴ 0.07A + 0.04B = 95 ⇒ multiply both sides by 100

∴ 7A + 4B = 9500 ⇒ (1)

- The total money to invest in both accounts is $1760

∵ Account A has $A invested

∵ Account B has $B invested

∴ A + B = 1760 ⇒ (2)

* Lets solve the system of equations to find the amount of money

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- Multiply equation (2) by -4 to eliminate B

∵ A + B = 1760 ⇒ × -4

∴ -4A - 4B = -7040 ⇒ (3)

- Add equation (1) and (3)

∵ 7A + 4B = 9500 ⇒ (1)

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∴ 7A - 4A = 9500 - 7040

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∵ A + B = 1760 ⇒ (2)

∴ 820 + B = 1760 ⇒ subtract 820 from both sides

∴ B = 940

- From all above

* You should invest $820 in account A and $940 in account B

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